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Finding the Fourth Proportional to 144,877.80, 217,413.90 and 65,951.40

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Solution

The fourth proportional to 144,877.80, 217,413.90 and 65,951.40 is: 98,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,877.80 : 217,413.90 = 65,951.40 : x
  2. Step 2: Convert to fraction form
    144,877.80/217,413.90 = 65,951.40/x
  3. Step 3: Cross multiply
    144,877.80x = 217,413.90 × 65,951.40
  4. Step 4: Simplify right side
    144,877.80x = 14,338,751,084.46
  5. Step 5: Solve for x
    x = 14,338,751,084.46/144,877.80
  6. Step 6: Final answer
    x = 98,971.35

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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.