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Finding the Fourth Proportional to 233,778.74, 350,522 and 98,773.40

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Solution

The fourth proportional to 233,778.74, 350,522 and 98,773.40 is: 148,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778.74 : 350,522 = 98,773.40 : x
  2. Step 2: Convert to fraction form
    233,778.74/350,522 = 98,773.40/x
  3. Step 3: Cross multiply
    233,778.74x = 350,522 × 98,773.40
  4. Step 4: Simplify right side
    233,778.74x = 34,622,249,714.80
  5. Step 5: Solve for x
    x = 34,622,249,714.80/233,778.74
  6. Step 6: Final answer
    x = 148,098.37

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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.