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Finding the Fourth Proportional to 200,032.00, 276,048.95 and 113,989.14

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Solution

The fourth proportional to 200,032.00, 276,048.95 and 113,989.14 is: 157,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032.00 : 276,048.95 = 113,989.14 : x
  2. Step 2: Convert to fraction form
    200,032.00/276,048.95 = 113,989.14/x
  3. Step 3: Cross multiply
    200,032.00x = 276,048.95 × 113,989.14
  4. Step 4: Simplify right side
    200,032.00x = 31,466,582,408.40
  5. Step 5: Solve for x
    x = 31,466,582,408.40/200,032.00
  6. Step 6: Final answer
    x = 157,307.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.