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Finding the Fourth Proportional to 233,498.48, 350,023.55 and 149,020.16

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Solution

The fourth proportional to 233,498.48, 350,023.55 and 149,020.16 is: 223,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,498.48 : 350,023.55 = 149,020.16 : x
  2. Step 2: Convert to fraction form
    233,498.48/350,023.55 = 149,020.16/x
  3. Step 3: Cross multiply
    233,498.48x = 350,023.55 × 149,020.16
  4. Step 4: Simplify right side
    233,498.48x = 52,160,562,929.55
  5. Step 5: Solve for x
    x = 52,160,562,929.55/233,498.48
  6. Step 6: Final answer
    x = 223,387.17

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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.