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Finding the Fourth Proportional to 92,707.19, 138,833.98 and 83,721.60

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Solution

The fourth proportional to 92,707.19, 138,833.98 and 83,721.60 is: 125,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,707.19 : 138,833.98 = 83,721.60 : x
  2. Step 2: Convert to fraction form
    92,707.19/138,833.98 = 83,721.60/x
  3. Step 3: Cross multiply
    92,707.19x = 138,833.98 × 83,721.60
  4. Step 4: Simplify right side
    92,707.19x = 11,623,402,521.36
  5. Step 5: Solve for x
    x = 11,623,402,521.36/92,707.19
  6. Step 6: Final answer
    x = 125,377.57

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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.