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Finding the Fourth Proportional to 514,552.61, 771,758.86 and 135,441.61

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Solution

The fourth proportional to 514,552.61, 771,758.86 and 135,441.61 is: 203,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,552.61 : 771,758.86 = 135,441.61 : x
  2. Step 2: Convert to fraction form
    514,552.61/771,758.86 = 135,441.61/x
  3. Step 3: Cross multiply
    514,552.61x = 771,758.86 × 135,441.61
  4. Step 4: Simplify right side
    514,552.61x = 104,528,259,811.76
  5. Step 5: Solve for x
    x = 104,528,259,811.76/514,552.61
  6. Step 6: Final answer
    x = 203,143.97

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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.