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Finding the Fourth Proportional to 145,078.36, 200,211.78 and 81,421

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Solution

The fourth proportional to 145,078.36, 200,211.78 and 81,421 is: 112,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,078.36 : 200,211.78 = 81,421 : x
  2. Step 2: Convert to fraction form
    145,078.36/200,211.78 = 81,421/x
  3. Step 3: Cross multiply
    145,078.36x = 200,211.78 × 81,421
  4. Step 4: Simplify right side
    145,078.36x = 16,301,443,339.38
  5. Step 5: Solve for x
    x = 16,301,443,339.38/145,078.36
  6. Step 6: Final answer
    x = 112,363.02

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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.