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Finding the Fourth Proportional to 228,241.60, 342,643.20 and 144,001.60

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Solution

The fourth proportional to 228,241.60, 342,643.20 and 144,001.60 is: 216,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,241.60 : 342,643.20 = 144,001.60 : x
  2. Step 2: Convert to fraction form
    228,241.60/342,643.20 = 144,001.60/x
  3. Step 3: Cross multiply
    228,241.60x = 342,643.20 × 144,001.60
  4. Step 4: Simplify right side
    228,241.60x = 49,341,169,029.12
  5. Step 5: Solve for x
    x = 49,341,169,029.12/228,241.60
  6. Step 6: Final answer
    x = 216,179.56

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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.