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Finding the Fourth Proportional to 125,534.66, 188,232.67 and 65,413.03

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Solution

The fourth proportional to 125,534.66, 188,232.67 and 65,413.03 is: 98,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,534.66 : 188,232.67 = 65,413.03 : x
  2. Step 2: Convert to fraction form
    125,534.66/188,232.67 = 65,413.03/x
  3. Step 3: Cross multiply
    125,534.66x = 188,232.67 × 65,413.03
  4. Step 4: Simplify right side
    125,534.66x = 12,312,868,655.58
  5. Step 5: Solve for x
    x = 12,312,868,655.58/125,534.66
  6. Step 6: Final answer
    x = 98,083.42

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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.