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Finding the Fourth Proportional to 142,004.30, 212,825.55 and 75,476.30

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Solution

The fourth proportional to 142,004.30, 212,825.55 and 75,476.30 is: 113,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.30 : 212,825.55 = 75,476.30 : x
  2. Step 2: Convert to fraction form
    142,004.30/212,825.55 = 75,476.30/x
  3. Step 3: Cross multiply
    142,004.30x = 212,825.55 × 75,476.30
  4. Step 4: Simplify right side
    142,004.30x = 16,063,285,059.47
  5. Step 5: Solve for x
    x = 16,063,285,059.47/142,004.30
  6. Step 6: Final answer
    x = 113,118.30

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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.