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Finding the Fourth Proportional to 106,053.38, 146,354.61 and 57,655.40

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Solution

The fourth proportional to 106,053.38, 146,354.61 and 57,655.40 is: 79,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.38 : 146,354.61 = 57,655.40 : x
  2. Step 2: Convert to fraction form
    106,053.38/146,354.61 = 57,655.40/x
  3. Step 3: Cross multiply
    106,053.38x = 146,354.61 × 57,655.40
  4. Step 4: Simplify right side
    106,053.38x = 8,438,133,581.39
  5. Step 5: Solve for x
    x = 8,438,133,581.39/106,053.38
  6. Step 6: Final answer
    x = 79,564.97

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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.