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Finding the Fourth Proportional to 115,006.40, 172,509.60 and 83,902.40

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Solution

The fourth proportional to 115,006.40, 172,509.60 and 83,902.40 is: 125,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,006.40 : 172,509.60 = 83,902.40 : x
  2. Step 2: Convert to fraction form
    115,006.40/172,509.60 = 83,902.40/x
  3. Step 3: Cross multiply
    115,006.40x = 172,509.60 × 83,902.40
  4. Step 4: Simplify right side
    115,006.40x = 14,473,969,463.04
  5. Step 5: Solve for x
    x = 14,473,969,463.04/115,006.40
  6. Step 6: Final answer
    x = 125,853.60

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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.