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Finding the Fourth Proportional to 162,924.59, 244,068.71 and 77,413.75

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Solution

The fourth proportional to 162,924.59, 244,068.71 and 77,413.75 is: 115,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,924.59 : 244,068.71 = 77,413.75 : x
  2. Step 2: Convert to fraction form
    162,924.59/244,068.71 = 77,413.75/x
  3. Step 3: Cross multiply
    162,924.59x = 244,068.71 × 77,413.75
  4. Step 4: Simplify right side
    162,924.59x = 18,894,274,098.76
  5. Step 5: Solve for x
    x = 18,894,274,098.76/162,924.59
  6. Step 6: Final answer
    x = 115,969.44

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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.