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Finding the Fourth Proportional to 160,065.16, 240,027 and 85,167.54

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Solution

The fourth proportional to 160,065.16, 240,027 and 85,167.54 is: 127,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,065.16 : 240,027 = 85,167.54 : x
  2. Step 2: Convert to fraction form
    160,065.16/240,027 = 85,167.54/x
  3. Step 3: Cross multiply
    160,065.16x = 240,027 × 85,167.54
  4. Step 4: Simplify right side
    160,065.16x = 20,442,509,123.58
  5. Step 5: Solve for x
    x = 20,442,509,123.58/160,065.16
  6. Step 6: Final answer
    x = 127,713.67

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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.