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Finding the Fourth Proportional to 107,716.32, 148,655.52 and 74,124

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Solution

The fourth proportional to 107,716.32, 148,655.52 and 74,124 is: 102,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716.32 : 148,655.52 = 74,124 : x
  2. Step 2: Convert to fraction form
    107,716.32/148,655.52 = 74,124/x
  3. Step 3: Cross multiply
    107,716.32x = 148,655.52 × 74,124
  4. Step 4: Simplify right side
    107,716.32x = 11,018,941,764.48
  5. Step 5: Solve for x
    x = 11,018,941,764.48/107,716.32
  6. Step 6: Final answer
    x = 102,295.94

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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.