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Finding the Fourth Proportional to 129,693.66, 178,977.25 and 70,077.66

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Solution

The fourth proportional to 129,693.66, 178,977.25 and 70,077.66 is: 96,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693.66 : 178,977.25 = 70,077.66 : x
  2. Step 2: Convert to fraction form
    129,693.66/178,977.25 = 70,077.66/x
  3. Step 3: Cross multiply
    129,693.66x = 178,977.25 × 70,077.66
  4. Step 4: Simplify right side
    129,693.66x = 12,542,305,895.48
  5. Step 5: Solve for x
    x = 12,542,305,895.48/129,693.66
  6. Step 6: Final answer
    x = 96,707.17

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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.