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Finding the Fourth Proportional to 114,106.80, 157,429.14 and 65,707.69

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Solution

The fourth proportional to 114,106.80, 157,429.14 and 65,707.69 is: 90,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,106.80 : 157,429.14 = 65,707.69 : x
  2. Step 2: Convert to fraction form
    114,106.80/157,429.14 = 65,707.69/x
  3. Step 3: Cross multiply
    114,106.80x = 157,429.14 × 65,707.69
  4. Step 4: Simplify right side
    114,106.80x = 10,344,305,292.36
  5. Step 5: Solve for x
    x = 10,344,305,292.36/114,106.80
  6. Step 6: Final answer
    x = 90,654.59

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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.