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Finding the Fourth Proportional to 233,200.98, 349,764.30 and 83,413.35

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Solution

The fourth proportional to 233,200.98, 349,764.30 and 83,413.35 is: 125,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,200.98 : 349,764.30 = 83,413.35 : x
  2. Step 2: Convert to fraction form
    233,200.98/349,764.30 = 83,413.35/x
  3. Step 3: Cross multiply
    233,200.98x = 349,764.30 × 83,413.35
  4. Step 4: Simplify right side
    233,200.98x = 29,175,011,973.41
  5. Step 5: Solve for x
    x = 29,175,011,973.41/233,200.98
  6. Step 6: Final answer
    x = 125,106.73

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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.