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Finding the Fourth Proportional to 182,259.72, 273,389.58 and 57,591

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Solution

The fourth proportional to 182,259.72, 273,389.58 and 57,591 is: 86,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,259.72 : 273,389.58 = 57,591 : x
  2. Step 2: Convert to fraction form
    182,259.72/273,389.58 = 57,591/x
  3. Step 3: Cross multiply
    182,259.72x = 273,389.58 × 57,591
  4. Step 4: Simplify right side
    182,259.72x = 15,744,779,301.78
  5. Step 5: Solve for x
    x = 15,744,779,301.78/182,259.72
  6. Step 6: Final answer
    x = 86,386.50

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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.