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Finding the Fourth Proportional to 138,232.14, 190,760.70 and 77,803.68

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Solution

The fourth proportional to 138,232.14, 190,760.70 and 77,803.68 is: 107,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,232.14 : 190,760.70 = 77,803.68 : x
  2. Step 2: Convert to fraction form
    138,232.14/190,760.70 = 77,803.68/x
  3. Step 3: Cross multiply
    138,232.14x = 190,760.70 × 77,803.68
  4. Step 4: Simplify right side
    138,232.14x = 14,841,884,459.38
  5. Step 5: Solve for x
    x = 14,841,884,459.38/138,232.14
  6. Step 6: Final answer
    x = 107,369.27

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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.