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Finding the Fourth Proportional to 295,265.68, 442,968.72 and 95,586

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Solution

The fourth proportional to 295,265.68, 442,968.72 and 95,586 is: 143,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,265.68 : 442,968.72 = 95,586 : x
  2. Step 2: Convert to fraction form
    295,265.68/442,968.72 = 95,586/x
  3. Step 3: Cross multiply
    295,265.68x = 442,968.72 × 95,586
  4. Step 4: Simplify right side
    295,265.68x = 42,341,608,069.92
  5. Step 5: Solve for x
    x = 42,341,608,069.92/295,265.68
  6. Step 6: Final answer
    x = 143,401.73

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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.