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Finding the Fourth Proportional to 161,862.80, 242,794.20 and 83,130.80

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Solution

The fourth proportional to 161,862.80, 242,794.20 and 83,130.80 is: 124,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,862.80 : 242,794.20 = 83,130.80 : x
  2. Step 2: Convert to fraction form
    161,862.80/242,794.20 = 83,130.80/x
  3. Step 3: Cross multiply
    161,862.80x = 242,794.20 × 83,130.80
  4. Step 4: Simplify right side
    161,862.80x = 20,183,676,081.36
  5. Step 5: Solve for x
    x = 20,183,676,081.36/161,862.80
  6. Step 6: Final answer
    x = 124,696.20

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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.