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Finding the Fourth Proportional to 160,147.83, 240,034.08 and 65,318.82

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Solution

The fourth proportional to 160,147.83, 240,034.08 and 65,318.82 is: 97,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147.83 : 240,034.08 = 65,318.82 : x
  2. Step 2: Convert to fraction form
    160,147.83/240,034.08 = 65,318.82/x
  3. Step 3: Cross multiply
    160,147.83x = 240,034.08 × 65,318.82
  4. Step 4: Simplify right side
    160,147.83x = 15,678,742,865.39
  5. Step 5: Solve for x
    x = 15,678,742,865.39/160,147.83
  6. Step 6: Final answer
    x = 97,901.69

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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.