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Finding the Fourth Proportional to 81,146.80, 121,720.20 and 46,154.80

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Solution

The fourth proportional to 81,146.80, 121,720.20 and 46,154.80 is: 69,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146.80 : 121,720.20 = 46,154.80 : x
  2. Step 2: Convert to fraction form
    81,146.80/121,720.20 = 46,154.80/x
  3. Step 3: Cross multiply
    81,146.80x = 121,720.20 × 46,154.80
  4. Step 4: Simplify right side
    81,146.80x = 5,617,971,486.96
  5. Step 5: Solve for x
    x = 5,617,971,486.96/81,146.80
  6. Step 6: Final answer
    x = 69,232.20

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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.