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Finding the Fourth Proportional to 160,013.61, 240,019.55 and 65,243.43

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Solution

The fourth proportional to 160,013.61, 240,019.55 and 65,243.43 is: 97,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,013.61 : 240,019.55 = 65,243.43 : x
  2. Step 2: Convert to fraction form
    160,013.61/240,019.55 = 65,243.43/x
  3. Step 3: Cross multiply
    160,013.61x = 240,019.55 × 65,243.43
  4. Step 4: Simplify right side
    160,013.61x = 15,659,698,709.06
  5. Step 5: Solve for x
    x = 15,659,698,709.06/160,013.61
  6. Step 6: Final answer
    x = 97,864.79

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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.