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Finding the Fourth Proportional to 101,647.28, 152,442.12 and 64,151.12

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Solution

The fourth proportional to 101,647.28, 152,442.12 and 64,151.12 is: 96,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,647.28 : 152,442.12 = 64,151.12 : x
  2. Step 2: Convert to fraction form
    101,647.28/152,442.12 = 64,151.12/x
  3. Step 3: Cross multiply
    101,647.28x = 152,442.12 × 64,151.12
  4. Step 4: Simplify right side
    101,647.28x = 9,779,332,733.17
  5. Step 5: Solve for x
    x = 9,779,332,733.17/101,647.28
  6. Step 6: Final answer
    x = 96,208.50

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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.