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Finding the Fourth Proportional to 233,629.40, 350,294.38 and 98,656.90

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Solution

The fourth proportional to 233,629.40, 350,294.38 and 98,656.90 is: 147,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,629.40 : 350,294.38 = 98,656.90 : x
  2. Step 2: Convert to fraction form
    233,629.40/350,294.38 = 98,656.90/x
  3. Step 3: Cross multiply
    233,629.40x = 350,294.38 × 98,656.90
  4. Step 4: Simplify right side
    233,629.40x = 34,558,957,809.45
  5. Step 5: Solve for x
    x = 34,558,957,809.45/233,629.40
  6. Step 6: Final answer
    x = 147,922.13

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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.