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Finding the Fourth Proportional to 253,141.38, 349,345.95 and 138,413.18

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Solution

The fourth proportional to 253,141.38, 349,345.95 and 138,413.18 is: 191,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,141.38 : 349,345.95 = 138,413.18 : x
  2. Step 2: Convert to fraction form
    253,141.38/349,345.95 = 138,413.18/x
  3. Step 3: Cross multiply
    253,141.38x = 349,345.95 × 138,413.18
  4. Step 4: Simplify right side
    253,141.38x = 48,354,083,815.33
  5. Step 5: Solve for x
    x = 48,354,083,815.33/253,141.38
  6. Step 6: Final answer
    x = 191,016.12

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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.