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Finding the Fourth Proportional to 224,319.54, 309,402.27 and 143,769.90

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Solution

The fourth proportional to 224,319.54, 309,402.27 and 143,769.90 is: 198,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,319.54 : 309,402.27 = 143,769.90 : x
  2. Step 2: Convert to fraction form
    224,319.54/309,402.27 = 143,769.90/x
  3. Step 3: Cross multiply
    224,319.54x = 309,402.27 × 143,769.90
  4. Step 4: Simplify right side
    224,319.54x = 44,482,733,417.67
  5. Step 5: Solve for x
    x = 44,482,733,417.67/224,319.54
  6. Step 6: Final answer
    x = 198,300.75

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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.