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Finding the Fourth Proportional to 228,070.80, 341,717.40 and 188,413.20

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Solution

The fourth proportional to 228,070.80, 341,717.40 and 188,413.20 is: 282,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,070.80 : 341,717.40 = 188,413.20 : x
  2. Step 2: Convert to fraction form
    228,070.80/341,717.40 = 188,413.20/x
  3. Step 3: Cross multiply
    228,070.80x = 341,717.40 × 188,413.20
  4. Step 4: Simplify right side
    228,070.80x = 64,384,068,829.68
  5. Step 5: Solve for x
    x = 64,384,068,829.68/228,070.80
  6. Step 6: Final answer
    x = 282,298.61

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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.