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Finding the Fourth Proportional to 141,732.74, 212,529.93 and 61,838.24

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Solution

The fourth proportional to 141,732.74, 212,529.93 and 61,838.24 is: 92,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,732.74 : 212,529.93 = 61,838.24 : x
  2. Step 2: Convert to fraction form
    141,732.74/212,529.93 = 61,838.24/x
  3. Step 3: Cross multiply
    141,732.74x = 212,529.93 × 61,838.24
  4. Step 4: Simplify right side
    141,732.74x = 13,142,475,523.98
  5. Step 5: Solve for x
    x = 13,142,475,523.98/141,732.74
  6. Step 6: Final answer
    x = 92,727.17

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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.