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Finding the Fourth Proportional to 202,413.60, 279,355.38 and 117,530.68

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Solution

The fourth proportional to 202,413.60, 279,355.38 and 117,530.68 is: 162,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.60 : 279,355.38 = 117,530.68 : x
  2. Step 2: Convert to fraction form
    202,413.60/279,355.38 = 117,530.68/x
  3. Step 3: Cross multiply
    202,413.60x = 279,355.38 × 117,530.68
  4. Step 4: Simplify right side
    202,413.60x = 32,832,827,773.06
  5. Step 5: Solve for x
    x = 32,832,827,773.06/202,413.60
  6. Step 6: Final answer
    x = 162,206.63

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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.