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Finding the Fourth Proportional to 200,026, 276,024.54 and 109,365.13

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Solution

The fourth proportional to 200,026, 276,024.54 and 109,365.13 is: 150,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,026 : 276,024.54 = 109,365.13 : x
  2. Step 2: Convert to fraction form
    200,026/276,024.54 = 109,365.13/x
  3. Step 3: Cross multiply
    200,026x = 276,024.54 × 109,365.13
  4. Step 4: Simplify right side
    200,026x = 30,187,459,700.29
  5. Step 5: Solve for x
    x = 30,187,459,700.29/200,026
  6. Step 6: Final answer
    x = 150,917.68

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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.