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Finding the Fourth Proportional to 157,842.30, 236,763.45 and 98,793.30

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Solution

The fourth proportional to 157,842.30, 236,763.45 and 98,793.30 is: 148,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.30 : 236,763.45 = 98,793.30 : x
  2. Step 2: Convert to fraction form
    157,842.30/236,763.45 = 98,793.30/x
  3. Step 3: Cross multiply
    157,842.30x = 236,763.45 × 98,793.30
  4. Step 4: Simplify right side
    157,842.30x = 23,390,642,544.89
  5. Step 5: Solve for x
    x = 23,390,642,544.89/157,842.30
  6. Step 6: Final answer
    x = 148,189.95

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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.