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Finding the Fourth Proportional to 292,329.12, 403,413.96 and 158,193.12

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Solution

The fourth proportional to 292,329.12, 403,413.96 and 158,193.12 is: 218,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,329.12 : 403,413.96 = 158,193.12 : x
  2. Step 2: Convert to fraction form
    292,329.12/403,413.96 = 158,193.12/x
  3. Step 3: Cross multiply
    292,329.12x = 403,413.96 × 158,193.12
  4. Step 4: Simplify right side
    292,329.12x = 63,817,312,983.96
  5. Step 5: Solve for x
    x = 63,817,312,983.96/292,329.12
  6. Step 6: Final answer
    x = 218,306.38

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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.