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Finding the Fourth Proportional to 233,633.14, 322,413.52 and 126,203.14

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Solution

The fourth proportional to 233,633.14, 322,413.52 and 126,203.14 is: 174,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,633.14 : 322,413.52 = 126,203.14 : x
  2. Step 2: Convert to fraction form
    233,633.14/322,413.52 = 126,203.14/x
  3. Step 3: Cross multiply
    233,633.14x = 322,413.52 × 126,203.14
  4. Step 4: Simplify right side
    233,633.14x = 40,689,598,602.45
  5. Step 5: Solve for x
    x = 40,689,598,602.45/233,633.14
  6. Step 6: Final answer
    x = 174,160.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.