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Finding the Fourth Proportional to 145,597.50, 200,943.99 and 95,325.66

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Solution

The fourth proportional to 145,597.50, 200,943.99 and 95,325.66 is: 131,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,597.50 : 200,943.99 = 95,325.66 : x
  2. Step 2: Convert to fraction form
    145,597.50/200,943.99 = 95,325.66/x
  3. Step 3: Cross multiply
    145,597.50x = 200,943.99 × 95,325.66
  4. Step 4: Simplify right side
    145,597.50x = 19,155,118,469.78
  5. Step 5: Solve for x
    x = 19,155,118,469.78/145,597.50
  6. Step 6: Final answer
    x = 131,562.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.