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Finding the Fourth Proportional to 207,413.80, 310,602.30 and 136,911.40

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Solution

The fourth proportional to 207,413.80, 310,602.30 and 136,911.40 is: 205,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,413.80 : 310,602.30 = 136,911.40 : x
  2. Step 2: Convert to fraction form
    207,413.80/310,602.30 = 136,911.40/x
  3. Step 3: Cross multiply
    207,413.80x = 310,602.30 × 136,911.40
  4. Step 4: Simplify right side
    207,413.80x = 42,524,995,736.22
  5. Step 5: Solve for x
    x = 42,524,995,736.22/207,413.80
  6. Step 6: Final answer
    x = 205,024.91

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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.