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Finding the Fourth Proportional to 160,419.66, 240,527.36 and 76,127.82

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Solution

The fourth proportional to 160,419.66, 240,527.36 and 76,127.82 is: 114,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,419.66 : 240,527.36 = 76,127.82 : x
  2. Step 2: Convert to fraction form
    160,419.66/240,527.36 = 76,127.82/x
  3. Step 3: Cross multiply
    160,419.66x = 240,527.36 × 76,127.82
  4. Step 4: Simplify right side
    160,419.66x = 18,310,823,567.16
  5. Step 5: Solve for x
    x = 18,310,823,567.16/160,419.66
  6. Step 6: Final answer
    x = 114,143.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.