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Finding the Fourth Proportional to 107,144.40, 160,454.16 and 75,476.64

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Solution

The fourth proportional to 107,144.40, 160,454.16 and 75,476.64 is: 113,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,144.40 : 160,454.16 = 75,476.64 : x
  2. Step 2: Convert to fraction form
    107,144.40/160,454.16 = 75,476.64/x
  3. Step 3: Cross multiply
    107,144.40x = 160,454.16 × 75,476.64
  4. Step 4: Simplify right side
    107,144.40x = 12,110,540,870.82
  5. Step 5: Solve for x
    x = 12,110,540,870.82/107,144.40
  6. Step 6: Final answer
    x = 113,030.09

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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.