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Finding the Fourth Proportional to 141,024.30, 211,882.05 and 106,032.30

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Solution

The fourth proportional to 141,024.30, 211,882.05 and 106,032.30 is: 159,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,024.30 : 211,882.05 = 106,032.30 : x
  2. Step 2: Convert to fraction form
    141,024.30/211,882.05 = 106,032.30/x
  3. Step 3: Cross multiply
    141,024.30x = 211,882.05 × 106,032.30
  4. Step 4: Simplify right side
    141,024.30x = 22,466,341,090.22
  5. Step 5: Solve for x
    x = 22,466,341,090.22/141,024.30
  6. Step 6: Final answer
    x = 159,308.30

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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.