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Finding the Fourth Proportional to 342,685.48, 514,077.36 and 106,046.68

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Solution

The fourth proportional to 342,685.48, 514,077.36 and 106,046.68 is: 159,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,685.48 : 514,077.36 = 106,046.68 : x
  2. Step 2: Convert to fraction form
    342,685.48/514,077.36 = 106,046.68/x
  3. Step 3: Cross multiply
    342,685.48x = 514,077.36 × 106,046.68
  4. Step 4: Simplify right side
    342,685.48x = 54,516,197,291.16
  5. Step 5: Solve for x
    x = 54,516,197,291.16/342,685.48
  6. Step 6: Final answer
    x = 159,085.23

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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.