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Finding the Fourth Proportional to 233,629.65, 350,294.75 and 98,657.15

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Solution

The fourth proportional to 233,629.65, 350,294.75 and 98,657.15 is: 147,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,629.65 : 350,294.75 = 98,657.15 : x
  2. Step 2: Convert to fraction form
    233,629.65/350,294.75 = 98,657.15/x
  3. Step 3: Cross multiply
    233,629.65x = 350,294.75 × 98,657.15
  4. Step 4: Simplify right side
    233,629.65x = 34,559,081,694.96
  5. Step 5: Solve for x
    x = 34,559,081,694.96/233,629.65
  6. Step 6: Final answer
    x = 147,922.50

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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.