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Finding the Fourth Proportional to 346,732.94, 519,951.78 and 136,223.25

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Solution

The fourth proportional to 346,732.94, 519,951.78 and 136,223.25 is: 204,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,732.94 : 519,951.78 = 136,223.25 : x
  2. Step 2: Convert to fraction form
    346,732.94/519,951.78 = 136,223.25/x
  3. Step 3: Cross multiply
    346,732.94x = 519,951.78 × 136,223.25
  4. Step 4: Simplify right side
    346,732.94x = 70,829,521,314.89
  5. Step 5: Solve for x
    x = 70,829,521,314.89/346,732.94
  6. Step 6: Final answer
    x = 204,276.88

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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.