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Finding the Fourth Proportional to 195,210.40, 292,815.60 and 116,413.60

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Solution

The fourth proportional to 195,210.40, 292,815.60 and 116,413.60 is: 174,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,210.40 : 292,815.60 = 116,413.60 : x
  2. Step 2: Convert to fraction form
    195,210.40/292,815.60 = 116,413.60/x
  3. Step 3: Cross multiply
    195,210.40x = 292,815.60 × 116,413.60
  4. Step 4: Simplify right side
    195,210.40x = 34,087,718,132.16
  5. Step 5: Solve for x
    x = 34,087,718,132.16/195,210.40
  6. Step 6: Final answer
    x = 174,620.40

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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.