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Finding the Fourth Proportional to 127,838.94, 191,740.62 and 67,841.16

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Solution

The fourth proportional to 127,838.94, 191,740.62 and 67,841.16 is: 101,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,838.94 : 191,740.62 = 67,841.16 : x
  2. Step 2: Convert to fraction form
    127,838.94/191,740.62 = 67,841.16/x
  3. Step 3: Cross multiply
    127,838.94x = 191,740.62 × 67,841.16
  4. Step 4: Simplify right side
    127,838.94x = 13,007,906,079.92
  5. Step 5: Solve for x
    x = 13,007,906,079.92/127,838.94
  6. Step 6: Final answer
    x = 101,752.30

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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.