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Finding the Fourth Proportional to 145,413.10, 204,044.90 and 145,413.10

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Solution

The fourth proportional to 145,413.10, 204,044.90 and 145,413.10 is: 204,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413.10 : 204,044.90 = 145,413.10 : x
  2. Step 2: Convert to fraction form
    145,413.10/204,044.90 = 145,413.10/x
  3. Step 3: Cross multiply
    145,413.10x = 204,044.90 × 145,413.10
  4. Step 4: Simplify right side
    145,413.10x = 29,670,801,448.19
  5. Step 5: Solve for x
    x = 29,670,801,448.19/145,413.10
  6. Step 6: Final answer
    x = 204,044.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.