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Finding the Fourth Proportional to 141,592.89, 212,389.90 and 57,354.63

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Solution

The fourth proportional to 141,592.89, 212,389.90 and 57,354.63 is: 86,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,592.89 : 212,389.90 = 57,354.63 : x
  2. Step 2: Convert to fraction form
    141,592.89/212,389.90 = 57,354.63/x
  3. Step 3: Cross multiply
    141,592.89x = 212,389.90 × 57,354.63
  4. Step 4: Simplify right side
    141,592.89x = 12,181,544,385.08
  5. Step 5: Solve for x
    x = 12,181,544,385.08/141,592.89
  6. Step 6: Final answer
    x = 86,032.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.