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Finding the Fourth Proportional to 102,509.40, 153,764.10 and 62,938.20

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Solution

The fourth proportional to 102,509.40, 153,764.10 and 62,938.20 is: 94,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.40 : 153,764.10 = 62,938.20 : x
  2. Step 2: Convert to fraction form
    102,509.40/153,764.10 = 62,938.20/x
  3. Step 3: Cross multiply
    102,509.40x = 153,764.10 × 62,938.20
  4. Step 4: Simplify right side
    102,509.40x = 9,677,635,678.62
  5. Step 5: Solve for x
    x = 9,677,635,678.62/102,509.40
  6. Step 6: Final answer
    x = 94,407.30

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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.