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Finding the Fourth Proportional to 162,974.60, 244,505.10 and 57,782.60

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Solution

The fourth proportional to 162,974.60, 244,505.10 and 57,782.60 is: 86,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,974.60 : 244,505.10 = 57,782.60 : x
  2. Step 2: Convert to fraction form
    162,974.60/244,505.10 = 57,782.60/x
  3. Step 3: Cross multiply
    162,974.60x = 244,505.10 × 57,782.60
  4. Step 4: Simplify right side
    162,974.60x = 14,128,140,391.26
  5. Step 5: Solve for x
    x = 14,128,140,391.26/162,974.60
  6. Step 6: Final answer
    x = 86,689.22

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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.