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Finding the Fourth Proportional to 341,989.71, 513,010.35 and 102,084.66

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Solution

The fourth proportional to 341,989.71, 513,010.35 and 102,084.66 is: 153,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,989.71 : 513,010.35 = 102,084.66 : x
  2. Step 2: Convert to fraction form
    341,989.71/513,010.35 = 102,084.66/x
  3. Step 3: Cross multiply
    341,989.71x = 513,010.35 × 102,084.66
  4. Step 4: Simplify right side
    341,989.71x = 52,370,488,183.55
  5. Step 5: Solve for x
    x = 52,370,488,183.55/341,989.71
  6. Step 6: Final answer
    x = 153,134.69

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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.