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Finding the Fourth Proportional to 514,139.64, 771,245.36 and 159,106.92

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Solution

The fourth proportional to 514,139.64, 771,245.36 and 159,106.92 is: 238,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,139.64 : 771,245.36 = 159,106.92 : x
  2. Step 2: Convert to fraction form
    514,139.64/771,245.36 = 159,106.92/x
  3. Step 3: Cross multiply
    514,139.64x = 771,245.36 × 159,106.92
  4. Step 4: Simplify right side
    514,139.64x = 122,710,473,793.89
  5. Step 5: Solve for x
    x = 122,710,473,793.89/514,139.64
  6. Step 6: Final answer
    x = 238,671.49

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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.