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Finding the Fourth Proportional to 202,413.17, 279,354.81 and 117,530.24

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Solution

The fourth proportional to 202,413.17, 279,354.81 and 117,530.24 is: 162,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.17 : 279,354.81 = 117,530.24 : x
  2. Step 2: Convert to fraction form
    202,413.17/279,354.81 = 117,530.24/x
  3. Step 3: Cross multiply
    202,413.17x = 279,354.81 × 117,530.24
  4. Step 4: Simplify right side
    202,413.17x = 32,832,636,173.85
  5. Step 5: Solve for x
    x = 32,832,636,173.85/202,413.17
  6. Step 6: Final answer
    x = 162,206.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.