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Finding the Fourth Proportional to 215,526.32, 323,269.53 and 101,648.01

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Solution

The fourth proportional to 215,526.32, 323,269.53 and 101,648.01 is: 152,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,526.32 : 323,269.53 = 101,648.01 : x
  2. Step 2: Convert to fraction form
    215,526.32/323,269.53 = 101,648.01/x
  3. Step 3: Cross multiply
    215,526.32x = 323,269.53 × 101,648.01
  4. Step 4: Simplify right side
    215,526.32x = 32,859,704,418.14
  5. Step 5: Solve for x
    x = 32,859,704,418.14/215,526.32
  6. Step 6: Final answer
    x = 152,462.61

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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.