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Finding the Fourth Proportional to 101,852.10, 152,458.32 and 64,282.20

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Solution

The fourth proportional to 101,852.10, 152,458.32 and 64,282.20 is: 96,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,852.10 : 152,458.32 = 64,282.20 : x
  2. Step 2: Convert to fraction form
    101,852.10/152,458.32 = 64,282.20/x
  3. Step 3: Cross multiply
    101,852.10x = 152,458.32 × 64,282.20
  4. Step 4: Simplify right side
    101,852.10x = 9,800,356,217.90
  5. Step 5: Solve for x
    x = 9,800,356,217.90/101,852.10
  6. Step 6: Final answer
    x = 96,221.44

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1.5x scale

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.