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Finding the Fourth Proportional to 138,116.69, 190,471.12 and 127,807.82

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Solution

The fourth proportional to 138,116.69, 190,471.12 and 127,807.82 is: 176,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,116.69 : 190,471.12 = 127,807.82 : x
  2. Step 2: Convert to fraction form
    138,116.69/190,471.12 = 127,807.82/x
  3. Step 3: Cross multiply
    138,116.69x = 190,471.12 × 127,807.82
  4. Step 4: Simplify right side
    138,116.69x = 24,343,697,348.28
  5. Step 5: Solve for x
    x = 24,343,697,348.28/138,116.69
  6. Step 6: Final answer
    x = 176,254.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.