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Finding the Fourth Proportional to 233,703.69, 322,577.16 and 138,243.57

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Solution

The fourth proportional to 233,703.69, 322,577.16 and 138,243.57 is: 190,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,703.69 : 322,577.16 = 138,243.57 : x
  2. Step 2: Convert to fraction form
    233,703.69/322,577.16 = 138,243.57/x
  3. Step 3: Cross multiply
    233,703.69x = 322,577.16 × 138,243.57
  4. Step 4: Simplify right side
    233,703.69x = 44,594,218,198.86
  5. Step 5: Solve for x
    x = 44,594,218,198.86/233,703.69
  6. Step 6: Final answer
    x = 190,815.21

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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.