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Finding the Fourth Proportional to 260,221.56, 359,085.74 and 158,233.02

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Solution

The fourth proportional to 260,221.56, 359,085.74 and 158,233.02 is: 218,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,221.56 : 359,085.74 = 158,233.02 : x
  2. Step 2: Convert to fraction form
    260,221.56/359,085.74 = 158,233.02/x
  3. Step 3: Cross multiply
    260,221.56x = 359,085.74 × 158,233.02
  4. Step 4: Simplify right side
    260,221.56x = 56,819,220,287.97
  5. Step 5: Solve for x
    x = 56,819,220,287.97/260,221.56
  6. Step 6: Final answer
    x = 218,349.40

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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.