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Finding the Fourth Proportional to 140,129.49, 210,337.29 and 102,578.10

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Solution

The fourth proportional to 140,129.49, 210,337.29 and 102,578.10 is: 153,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,129.49 : 210,337.29 = 102,578.10 : x
  2. Step 2: Convert to fraction form
    140,129.49/210,337.29 = 102,578.10/x
  3. Step 3: Cross multiply
    140,129.49x = 210,337.29 × 102,578.10
  4. Step 4: Simplify right side
    140,129.49x = 21,575,999,567.35
  5. Step 5: Solve for x
    x = 21,575,999,567.35/140,129.49
  6. Step 6: Final answer
    x = 153,971.87

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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.