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Finding the Fourth Proportional to 145,141.38, 200,281.41 and 81,466.74

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Solution

The fourth proportional to 145,141.38, 200,281.41 and 81,466.74 is: 112,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,141.38 : 200,281.41 = 81,466.74 : x
  2. Step 2: Convert to fraction form
    145,141.38/200,281.41 = 81,466.74/x
  3. Step 3: Cross multiply
    145,141.38x = 200,281.41 × 81,466.74
  4. Step 4: Simplify right side
    145,141.38x = 16,316,273,555.30
  5. Step 5: Solve for x
    x = 16,316,273,555.30/145,141.38
  6. Step 6: Final answer
    x = 112,416.41

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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.