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Finding the Fourth Proportional to 114,729.68, 158,459.44 and 76,426.16

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Solution

The fourth proportional to 114,729.68, 158,459.44 and 76,426.16 is: 105,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729.68 : 158,459.44 = 76,426.16 : x
  2. Step 2: Convert to fraction form
    114,729.68/158,459.44 = 76,426.16/x
  3. Step 3: Cross multiply
    114,729.68x = 158,459.44 × 76,426.16
  4. Step 4: Simplify right side
    114,729.68x = 12,110,446,514.95
  5. Step 5: Solve for x
    x = 12,110,446,514.95/114,729.68
  6. Step 6: Final answer
    x = 105,556.35

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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.