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Finding the Fourth Proportional to 374,084.60, 561,143.57 and 137,298.11

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Solution

The fourth proportional to 374,084.60, 561,143.57 and 137,298.11 is: 205,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,084.60 : 561,143.57 = 137,298.11 : x
  2. Step 2: Convert to fraction form
    374,084.60/561,143.57 = 137,298.11/x
  3. Step 3: Cross multiply
    374,084.60x = 561,143.57 × 137,298.11
  4. Step 4: Simplify right side
    374,084.60x = 77,043,948,107.44
  5. Step 5: Solve for x
    x = 77,043,948,107.44/374,084.60
  6. Step 6: Final answer
    x = 205,953.28

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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.