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Finding the Fourth Proportional to 224,341.85, 309,584.43 and 127,539.77

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Solution

The fourth proportional to 224,341.85, 309,584.43 and 127,539.77 is: 176,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,341.85 : 309,584.43 = 127,539.77 : x
  2. Step 2: Convert to fraction form
    224,341.85/309,584.43 = 127,539.77/x
  3. Step 3: Cross multiply
    224,341.85x = 309,584.43 × 127,539.77
  4. Step 4: Simplify right side
    224,341.85x = 39,484,325,449.86
  5. Step 5: Solve for x
    x = 39,484,325,449.86/224,341.85
  6. Step 6: Final answer
    x = 176,000.71

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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.