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Finding the Fourth Proportional to 138,741, 191,461.14 and 75,077.34

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Solution

The fourth proportional to 138,741, 191,461.14 and 75,077.34 is: 103,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,741 : 191,461.14 = 75,077.34 : x
  2. Step 2: Convert to fraction form
    138,741/191,461.14 = 75,077.34/x
  3. Step 3: Cross multiply
    138,741x = 191,461.14 × 75,077.34
  4. Step 4: Simplify right side
    138,741x = 14,374,393,104.57
  5. Step 5: Solve for x
    x = 14,374,393,104.57/138,741
  6. Step 6: Final answer
    x = 103,605.95

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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.