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Finding the Fourth Proportional to 141,031.30, 211,892.55 and 106,039.30

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Solution

The fourth proportional to 141,031.30, 211,892.55 and 106,039.30 is: 159,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,031.30 : 211,892.55 = 106,039.30 : x
  2. Step 2: Convert to fraction form
    141,031.30/211,892.55 = 106,039.30/x
  3. Step 3: Cross multiply
    141,031.30x = 211,892.55 × 106,039.30
  4. Step 4: Simplify right side
    141,031.30x = 22,468,937,677.22
  5. Step 5: Solve for x
    x = 22,468,937,677.22/141,031.30
  6. Step 6: Final answer
    x = 159,318.80

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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.