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Finding the Fourth Proportional to 257,413.33, 354,836.63 and 180,717.27

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Solution

The fourth proportional to 257,413.33, 354,836.63 and 180,717.27 is: 249,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.33 : 354,836.63 = 180,717.27 : x
  2. Step 2: Convert to fraction form
    257,413.33/354,836.63 = 180,717.27/x
  3. Step 3: Cross multiply
    257,413.33x = 354,836.63 × 180,717.27
  4. Step 4: Simplify right side
    257,413.33x = 64,125,105,278.92
  5. Step 5: Solve for x
    x = 64,125,105,278.92/257,413.33
  6. Step 6: Final answer
    x = 249,113.38

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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.