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Finding the Fourth Proportional to 233,924, 322,795.50 and 138,413.96

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Solution

The fourth proportional to 233,924, 322,795.50 and 138,413.96 is: 190,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,924 : 322,795.50 = 138,413.96 : x
  2. Step 2: Convert to fraction form
    233,924/322,795.50 = 138,413.96/x
  3. Step 3: Cross multiply
    233,924x = 322,795.50 × 138,413.96
  4. Step 4: Simplify right side
    233,924x = 44,679,403,425.18
  5. Step 5: Solve for x
    x = 44,679,403,425.18/233,924
  6. Step 6: Final answer
    x = 190,999.66

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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.