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Finding the Fourth Proportional to 341,989.20, 513,009.60 and 102,084.17

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Solution

The fourth proportional to 341,989.20, 513,009.60 and 102,084.17 is: 153,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,989.20 : 513,009.60 = 102,084.17 : x
  2. Step 2: Convert to fraction form
    341,989.20/513,009.60 = 102,084.17/x
  3. Step 3: Cross multiply
    341,989.20x = 513,009.60 × 102,084.17
  4. Step 4: Simplify right side
    341,989.20x = 52,370,156,652.98
  5. Step 5: Solve for x
    x = 52,370,156,652.98/341,989.20
  6. Step 6: Final answer
    x = 153,133.95

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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.