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Finding the Fourth Proportional to 559,193.64, 838,818.12 and 159,893.16

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Solution

The fourth proportional to 559,193.64, 838,818.12 and 159,893.16 is: 239,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,193.64 : 838,818.12 = 159,893.16 : x
  2. Step 2: Convert to fraction form
    559,193.64/838,818.12 = 159,893.16/x
  3. Step 3: Cross multiply
    559,193.64x = 838,818.12 × 159,893.16
  4. Step 4: Simplify right side
    559,193.64x = 134,121,279,872.06
  5. Step 5: Solve for x
    x = 134,121,279,872.06/559,193.64
  6. Step 6: Final answer
    x = 239,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.