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Finding the Fourth Proportional to 305,029.02, 457,543.51 and 83,413.02

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Solution

The fourth proportional to 305,029.02, 457,543.51 and 83,413.02 is: 125,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,029.02 : 457,543.51 = 83,413.02 : x
  2. Step 2: Convert to fraction form
    305,029.02/457,543.51 = 83,413.02/x
  3. Step 3: Cross multiply
    305,029.02x = 457,543.51 × 83,413.02
  4. Step 4: Simplify right side
    305,029.02x = 38,165,085,950.50
  5. Step 5: Solve for x
    x = 38,165,085,950.50/305,029.02
  6. Step 6: Final answer
    x = 125,119.52

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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.