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Finding the Fourth Proportional to 138,116.75, 190,602.11 and 77,686.90

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Solution

The fourth proportional to 138,116.75, 190,602.11 and 77,686.90 is: 107,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,116.75 : 190,602.11 = 77,686.90 : x
  2. Step 2: Convert to fraction form
    138,116.75/190,602.11 = 77,686.90/x
  3. Step 3: Cross multiply
    138,116.75x = 190,602.11 × 77,686.90
  4. Step 4: Simplify right side
    138,116.75x = 14,807,286,777.07
  5. Step 5: Solve for x
    x = 14,807,286,777.07/138,116.75
  6. Step 6: Final answer
    x = 107,208.48

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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.