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Finding the Fourth Proportional to 102,076.47, 153,080.69 and 42,901.11

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Solution

The fourth proportional to 102,076.47, 153,080.69 and 42,901.11 is: 64,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,076.47 : 153,080.69 = 42,901.11 : x
  2. Step 2: Convert to fraction form
    102,076.47/153,080.69 = 42,901.11/x
  3. Step 3: Cross multiply
    102,076.47x = 153,080.69 × 42,901.11
  4. Step 4: Simplify right side
    102,076.47x = 6,567,331,306.06
  5. Step 5: Solve for x
    x = 6,567,331,306.06/102,076.47
  6. Step 6: Final answer
    x = 64,337.37

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