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Finding the Fourth Proportional to 110,357.31, 152,282.54 and 61,948.14

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Solution

The fourth proportional to 110,357.31, 152,282.54 and 61,948.14 is: 85,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357.31 : 152,282.54 = 61,948.14 : x
  2. Step 2: Convert to fraction form
    110,357.31/152,282.54 = 61,948.14/x
  3. Step 3: Cross multiply
    110,357.31x = 152,282.54 × 61,948.14
  4. Step 4: Simplify right side
    110,357.31x = 9,433,619,797.73
  5. Step 5: Solve for x
    x = 9,433,619,797.73/110,357.31
  6. Step 6: Final answer
    x = 85,482.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.