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Finding the Fourth Proportional to 342,715.12, 514,091.80 and 106,039.32

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Solution

The fourth proportional to 342,715.12, 514,091.80 and 106,039.32 is: 159,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,715.12 : 514,091.80 = 106,039.32 : x
  2. Step 2: Convert to fraction form
    342,715.12/514,091.80 = 106,039.32/x
  3. Step 3: Cross multiply
    342,715.12x = 514,091.80 × 106,039.32
  4. Step 4: Simplify right side
    342,715.12x = 54,513,944,889.58
  5. Step 5: Solve for x
    x = 54,513,944,889.58/342,715.12
  6. Step 6: Final answer
    x = 159,064.90

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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.