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Finding the Fourth Proportional to 233,689.42, 322,113.59 and 182,613.38

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Solution

The fourth proportional to 233,689.42, 322,113.59 and 182,613.38 is: 251,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,689.42 : 322,113.59 = 182,613.38 : x
  2. Step 2: Convert to fraction form
    233,689.42/322,113.59 = 182,613.38/x
  3. Step 3: Cross multiply
    233,689.42x = 322,113.59 × 182,613.38
  4. Step 4: Simplify right side
    233,689.42x = 58,822,251,413.83
  5. Step 5: Solve for x
    x = 58,822,251,413.83/233,689.42
  6. Step 6: Final answer
    x = 251,711.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.