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Finding the Fourth Proportional to 137,802.80, 206,825.70 and 81,572.60

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Solution

The fourth proportional to 137,802.80, 206,825.70 and 81,572.60 is: 122,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,802.80 : 206,825.70 = 81,572.60 : x
  2. Step 2: Convert to fraction form
    137,802.80/206,825.70 = 81,572.60/x
  3. Step 3: Cross multiply
    137,802.80x = 206,825.70 × 81,572.60
  4. Step 4: Simplify right side
    137,802.80x = 16,871,310,095.82
  5. Step 5: Solve for x
    x = 16,871,310,095.82/137,802.80
  6. Step 6: Final answer
    x = 122,430.82

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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.