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Finding the Fourth Proportional to 200,431.44, 276,526.71 and 114,328.53

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Solution

The fourth proportional to 200,431.44, 276,526.71 and 114,328.53 is: 157,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,431.44 : 276,526.71 = 114,328.53 : x
  2. Step 2: Convert to fraction form
    200,431.44/276,526.71 = 114,328.53/x
  3. Step 3: Cross multiply
    200,431.44x = 276,526.71 × 114,328.53
  4. Step 4: Simplify right side
    200,431.44x = 31,614,892,260.04
  5. Step 5: Solve for x
    x = 31,614,892,260.04/200,431.44
  6. Step 6: Final answer
    x = 157,734.20

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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.