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Finding the Fourth Proportional to 145,142.38, 200,282.79 and 81,467.74

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Solution

The fourth proportional to 145,142.38, 200,282.79 and 81,467.74 is: 112,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,142.38 : 200,282.79 = 81,467.74 : x
  2. Step 2: Convert to fraction form
    145,142.38/200,282.79 = 81,467.74/x
  3. Step 3: Cross multiply
    145,142.38x = 200,282.79 × 81,467.74
  4. Step 4: Simplify right side
    145,142.38x = 16,316,586,262.19
  5. Step 5: Solve for x
    x = 16,316,586,262.19/145,142.38
  6. Step 6: Final answer
    x = 112,417.79

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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.