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Finding the Fourth Proportional to 99,523.80, 149,367.30 and 98,746.20

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Solution

The fourth proportional to 99,523.80, 149,367.30 and 98,746.20 is: 148,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,523.80 : 149,367.30 = 98,746.20 : x
  2. Step 2: Convert to fraction form
    99,523.80/149,367.30 = 98,746.20/x
  3. Step 3: Cross multiply
    99,523.80x = 149,367.30 × 98,746.20
  4. Step 4: Simplify right side
    99,523.80x = 14,749,453,279.26
  5. Step 5: Solve for x
    x = 14,749,453,279.26/99,523.80
  6. Step 6: Final answer
    x = 148,200.26

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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.