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Finding the Fourth Proportional to 109,220.30, 163,830.45 and 96,098.30

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Solution

The fourth proportional to 109,220.30, 163,830.45 and 96,098.30 is: 144,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220.30 : 163,830.45 = 96,098.30 : x
  2. Step 2: Convert to fraction form
    109,220.30/163,830.45 = 96,098.30/x
  3. Step 3: Cross multiply
    109,220.30x = 163,830.45 × 96,098.30
  4. Step 4: Simplify right side
    109,220.30x = 15,743,827,733.24
  5. Step 5: Solve for x
    x = 15,743,827,733.24/109,220.30
  6. Step 6: Final answer
    x = 144,147.45

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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.