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Finding the Fourth Proportional to 201,656.97, 302,320.22 and 83,413.17

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Solution

The fourth proportional to 201,656.97, 302,320.22 and 83,413.17 is: 125,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656.97 : 302,320.22 = 83,413.17 : x
  2. Step 2: Convert to fraction form
    201,656.97/302,320.22 = 83,413.17/x
  3. Step 3: Cross multiply
    201,656.97x = 302,320.22 × 83,413.17
  4. Step 4: Simplify right side
    201,656.97x = 25,217,487,488.23
  5. Step 5: Solve for x
    x = 25,217,487,488.23/201,656.97
  6. Step 6: Final answer
    x = 125,051.41

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1.5x scale

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.