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Finding the Fourth Proportional to 127,013.16, 175,280.88 and 69,653.82

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Solution

The fourth proportional to 127,013.16, 175,280.88 and 69,653.82 is: 96,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,013.16 : 175,280.88 = 69,653.82 : x
  2. Step 2: Convert to fraction form
    127,013.16/175,280.88 = 69,653.82/x
  3. Step 3: Cross multiply
    127,013.16x = 175,280.88 × 69,653.82
  4. Step 4: Simplify right side
    127,013.16x = 12,208,982,864.96
  5. Step 5: Solve for x
    x = 12,208,982,864.96/127,013.16
  6. Step 6: Final answer
    x = 96,123.76

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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.