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Finding the Fourth Proportional to 153,959.76, 212,452.34 and 85,971.42

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Solution

The fourth proportional to 153,959.76, 212,452.34 and 85,971.42 is: 118,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,959.76 : 212,452.34 = 85,971.42 : x
  2. Step 2: Convert to fraction form
    153,959.76/212,452.34 = 85,971.42/x
  3. Step 3: Cross multiply
    153,959.76x = 212,452.34 × 85,971.42
  4. Step 4: Simplify right side
    153,959.76x = 18,264,828,289.86
  5. Step 5: Solve for x
    x = 18,264,828,289.86/153,959.76
  6. Step 6: Final answer
    x = 118,633.78

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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.