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Finding the Fourth Proportional to 342,856.14, 514,318.04 and 118,186.98

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Solution

The fourth proportional to 342,856.14, 514,318.04 and 118,186.98 is: 177,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,856.14 : 514,318.04 = 118,186.98 : x
  2. Step 2: Convert to fraction form
    342,856.14/514,318.04 = 118,186.98/x
  3. Step 3: Cross multiply
    342,856.14x = 514,318.04 × 118,186.98
  4. Step 4: Simplify right side
    342,856.14x = 60,785,695,907.12
  5. Step 5: Solve for x
    x = 60,785,695,907.12/342,856.14
  6. Step 6: Final answer
    x = 177,292.13

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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.