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Finding the Fourth Proportional to 110,409.96, 152,385.60 and 65,085.24

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Solution

The fourth proportional to 110,409.96, 152,385.60 and 65,085.24 is: 89,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,409.96 : 152,385.60 = 65,085.24 : x
  2. Step 2: Convert to fraction form
    110,409.96/152,385.60 = 65,085.24/x
  3. Step 3: Cross multiply
    110,409.96x = 152,385.60 × 65,085.24
  4. Step 4: Simplify right side
    110,409.96x = 9,918,053,348.54
  5. Step 5: Solve for x
    x = 9,918,053,348.54/110,409.96
  6. Step 6: Final answer
    x = 89,829.34

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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.