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Finding the Fourth Proportional to 208,413.10, 312,619.65 and 97,821.10

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Solution

The fourth proportional to 208,413.10, 312,619.65 and 97,821.10 is: 146,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.10 : 312,619.65 = 97,821.10 : x
  2. Step 2: Convert to fraction form
    208,413.10/312,619.65 = 97,821.10/x
  3. Step 3: Cross multiply
    208,413.10x = 312,619.65 × 97,821.10
  4. Step 4: Simplify right side
    208,413.10x = 30,580,798,044.62
  5. Step 5: Solve for x
    x = 30,580,798,044.62/208,413.10
  6. Step 6: Final answer
    x = 146,731.65

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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.