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Finding the Fourth Proportional to 104,825.20, 157,237.80 and 97,826.80

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Solution

The fourth proportional to 104,825.20, 157,237.80 and 97,826.80 is: 146,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,825.20 : 157,237.80 = 97,826.80 : x
  2. Step 2: Convert to fraction form
    104,825.20/157,237.80 = 97,826.80/x
  3. Step 3: Cross multiply
    104,825.20x = 157,237.80 × 97,826.80
  4. Step 4: Simplify right side
    104,825.20x = 15,382,070,813.04
  5. Step 5: Solve for x
    x = 15,382,070,813.04/104,825.20
  6. Step 6: Final answer
    x = 146,740.20

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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.