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Finding the Fourth Proportional to 144,127.33, 198,920.06 and 83,733.01

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Solution

The fourth proportional to 144,127.33, 198,920.06 and 83,733.01 is: 115,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,127.33 : 198,920.06 = 83,733.01 : x
  2. Step 2: Convert to fraction form
    144,127.33/198,920.06 = 83,733.01/x
  3. Step 3: Cross multiply
    144,127.33x = 198,920.06 × 83,733.01
  4. Step 4: Simplify right side
    144,127.33x = 16,656,175,373.18
  5. Step 5: Solve for x
    x = 16,656,175,373.18/144,127.33
  6. Step 6: Final answer
    x = 115,565.70

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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.