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Finding the Fourth Proportional to 224,089.52, 309,303.24 and 132,289.52

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Solution

The fourth proportional to 224,089.52, 309,303.24 and 132,289.52 is: 182,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,089.52 : 309,303.24 = 132,289.52 : x
  2. Step 2: Convert to fraction form
    224,089.52/309,303.24 = 132,289.52/x
  3. Step 3: Cross multiply
    224,089.52x = 309,303.24 × 132,289.52
  4. Step 4: Simplify right side
    224,089.52x = 40,917,577,154.04
  5. Step 5: Solve for x
    x = 40,917,577,154.04/224,089.52
  6. Step 6: Final answer
    x = 182,594.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.