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Finding the Fourth Proportional to 121,413.40, 182,120.10 and 47,541.40

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Solution

The fourth proportional to 121,413.40, 182,120.10 and 47,541.40 is: 71,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413.40 : 182,120.10 = 47,541.40 : x
  2. Step 2: Convert to fraction form
    121,413.40/182,120.10 = 47,541.40/x
  3. Step 3: Cross multiply
    121,413.40x = 182,120.10 × 47,541.40
  4. Step 4: Simplify right side
    121,413.40x = 8,658,244,522.14
  5. Step 5: Solve for x
    x = 8,658,244,522.14/121,413.40
  6. Step 6: Final answer
    x = 71,312.10

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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.