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Finding the Fourth Proportional to 224,829.92, 310,308.84 and 144,359.12

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Solution

The fourth proportional to 224,829.92, 310,308.84 and 144,359.12 is: 199,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,829.92 : 310,308.84 = 144,359.12 : x
  2. Step 2: Convert to fraction form
    224,829.92/310,308.84 = 144,359.12/x
  3. Step 3: Cross multiply
    224,829.92x = 310,308.84 × 144,359.12
  4. Step 4: Simplify right side
    224,829.92x = 44,795,911,070.62
  5. Step 5: Solve for x
    x = 44,795,911,070.62/224,829.92
  6. Step 6: Final answer
    x = 199,243.55

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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.