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Finding the Fourth Proportional to 233,633.67, 350,217.59 and 98,731.77

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Solution

The fourth proportional to 233,633.67, 350,217.59 and 98,731.77 is: 147,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,633.67 : 350,217.59 = 98,731.77 : x
  2. Step 2: Convert to fraction form
    233,633.67/350,217.59 = 98,731.77/x
  3. Step 3: Cross multiply
    233,633.67x = 350,217.59 × 98,731.77
  4. Step 4: Simplify right side
    233,633.67x = 34,577,602,545.83
  5. Step 5: Solve for x
    x = 34,577,602,545.83/233,633.67
  6. Step 6: Final answer
    x = 147,999.23

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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.