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Finding the Fourth Proportional to 138,693.33, 191,394.90 and 77,440.46

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Solution

The fourth proportional to 138,693.33, 191,394.90 and 77,440.46 is: 106,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693.33 : 191,394.90 = 77,440.46 : x
  2. Step 2: Convert to fraction form
    138,693.33/191,394.90 = 77,440.46/x
  3. Step 3: Cross multiply
    138,693.33x = 191,394.90 × 77,440.46
  4. Step 4: Simplify right side
    138,693.33x = 14,821,708,140.68
  5. Step 5: Solve for x
    x = 14,821,708,140.68/138,693.33
  6. Step 6: Final answer
    x = 106,866.77

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1.5x scale

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.