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Finding the Fourth Proportional to 224,687.82, 309,541.77 and 156,580.98

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Solution

The fourth proportional to 224,687.82, 309,541.77 and 156,580.98 is: 215,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,687.82 : 309,541.77 = 156,580.98 : x
  2. Step 2: Convert to fraction form
    224,687.82/309,541.77 = 156,580.98/x
  3. Step 3: Cross multiply
    224,687.82x = 309,541.77 × 156,580.98
  4. Step 4: Simplify right side
    224,687.82x = 48,468,353,697.53
  5. Step 5: Solve for x
    x = 48,468,353,697.53/224,687.82
  6. Step 6: Final answer
    x = 215,714.20

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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.