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Finding the Fourth Proportional to 185,413.88, 278,106.84 and 59,049.02

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Solution

The fourth proportional to 185,413.88, 278,106.84 and 59,049.02 is: 88,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,413.88 : 278,106.84 = 59,049.02 : x
  2. Step 2: Convert to fraction form
    185,413.88/278,106.84 = 59,049.02/x
  3. Step 3: Cross multiply
    185,413.88x = 278,106.84 × 59,049.02
  4. Step 4: Simplify right side
    185,413.88x = 16,421,934,966.76
  5. Step 5: Solve for x
    x = 16,421,934,966.76/185,413.88
  6. Step 6: Final answer
    x = 88,569.07

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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.