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Finding the Fourth Proportional to 342,913.60, 514,370.40 and 106,254.40

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Solution

The fourth proportional to 342,913.60, 514,370.40 and 106,254.40 is: 159,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,913.60 : 514,370.40 = 106,254.40 : x
  2. Step 2: Convert to fraction form
    342,913.60/514,370.40 = 106,254.40/x
  3. Step 3: Cross multiply
    342,913.60x = 514,370.40 × 106,254.40
  4. Step 4: Simplify right side
    342,913.60x = 54,654,118,229.76
  5. Step 5: Solve for x
    x = 54,654,118,229.76/342,913.60
  6. Step 6: Final answer
    x = 159,381.60

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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.