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Finding the Fourth Proportional to 157,597.56, 217,480.80 and 85,978.08

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Solution

The fourth proportional to 157,597.56, 217,480.80 and 85,978.08 is: 118,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,597.56 : 217,480.80 = 85,978.08 : x
  2. Step 2: Convert to fraction form
    157,597.56/217,480.80 = 85,978.08/x
  3. Step 3: Cross multiply
    157,597.56x = 217,480.80 × 85,978.08
  4. Step 4: Simplify right side
    157,597.56x = 18,698,581,620.86
  5. Step 5: Solve for x
    x = 18,698,581,620.86/157,597.56
  6. Step 6: Final answer
    x = 118,647.66

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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.