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Finding the Fourth Proportional to 134,101.60, 201,024.40 and 49,839.20

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Solution

The fourth proportional to 134,101.60, 201,024.40 and 49,839.20 is: 74,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,101.60 : 201,024.40 = 49,839.20 : x
  2. Step 2: Convert to fraction form
    134,101.60/201,024.40 = 49,839.20/x
  3. Step 3: Cross multiply
    134,101.60x = 201,024.40 × 49,839.20
  4. Step 4: Simplify right side
    134,101.60x = 10,018,895,276.48
  5. Step 5: Solve for x
    x = 10,018,895,276.48/134,101.60
  6. Step 6: Final answer
    x = 74,711.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.