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Finding the Fourth Proportional to 186,531.50, 257,413.47 and 101,648.63

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Solution

The fourth proportional to 186,531.50, 257,413.47 and 101,648.63 is: 140,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,531.50 : 257,413.47 = 101,648.63 : x
  2. Step 2: Convert to fraction form
    186,531.50/257,413.47 = 101,648.63/x
  3. Step 3: Cross multiply
    186,531.50x = 257,413.47 × 101,648.63
  4. Step 4: Simplify right side
    186,531.50x = 26,165,726,569.05
  5. Step 5: Solve for x
    x = 26,165,726,569.05/186,531.50
  6. Step 6: Final answer
    x = 140,275.11

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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.