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Finding the Fourth Proportional to 342,702.27, 514,176.39 and 153,146.76

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Solution

The fourth proportional to 342,702.27, 514,176.39 and 153,146.76 is: 229,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,702.27 : 514,176.39 = 153,146.76 : x
  2. Step 2: Convert to fraction form
    342,702.27/514,176.39 = 153,146.76/x
  3. Step 3: Cross multiply
    342,702.27x = 514,176.39 × 153,146.76
  4. Step 4: Simplify right side
    342,702.27x = 78,744,448,197.00
  5. Step 5: Solve for x
    x = 78,744,448,197.00/342,702.27
  6. Step 6: Final answer
    x = 229,775.10

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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.