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Finding the Fourth Proportional to 147,476.61, 203,517.77 and 83,812.77

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Solution

The fourth proportional to 147,476.61, 203,517.77 and 83,812.77 is: 115,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,476.61 : 203,517.77 = 83,812.77 : x
  2. Step 2: Convert to fraction form
    147,476.61/203,517.77 = 83,812.77/x
  3. Step 3: Cross multiply
    147,476.61x = 203,517.77 × 83,812.77
  4. Step 4: Simplify right side
    147,476.61x = 17,057,387,628.86
  5. Step 5: Solve for x
    x = 17,057,387,628.86/147,476.61
  6. Step 6: Final answer
    x = 115,661.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.