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Finding the Fourth Proportional to 96,228.60, 144,342.90 and 29,662.80

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Solution

The fourth proportional to 96,228.60, 144,342.90 and 29,662.80 is: 44,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228.60 : 144,342.90 = 29,662.80 : x
  2. Step 2: Convert to fraction form
    96,228.60/144,342.90 = 29,662.80/x
  3. Step 3: Cross multiply
    96,228.60x = 144,342.90 × 29,662.80
  4. Step 4: Simplify right side
    96,228.60x = 4,281,614,574.12
  5. Step 5: Solve for x
    x = 4,281,614,574.12/96,228.60
  6. Step 6: Final answer
    x = 44,494.20

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1.5x scale

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.