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Finding the Fourth Proportional to 216,705.38, 299,053.42 and 141,253.88

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Solution

The fourth proportional to 216,705.38, 299,053.42 and 141,253.88 is: 194,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,705.38 : 299,053.42 = 141,253.88 : x
  2. Step 2: Convert to fraction form
    216,705.38/299,053.42 = 141,253.88/x
  3. Step 3: Cross multiply
    216,705.38x = 299,053.42 × 141,253.88
  4. Step 4: Simplify right side
    216,705.38x = 42,242,454,053.87
  5. Step 5: Solve for x
    x = 42,242,454,053.87/216,705.38
  6. Step 6: Final answer
    x = 194,930.35

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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.