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Finding the Fourth Proportional to 233,572.65, 322,331.10 and 141,661.24

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Solution

The fourth proportional to 233,572.65, 322,331.10 and 141,661.24 is: 195,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572.65 : 322,331.10 = 141,661.24 : x
  2. Step 2: Convert to fraction form
    233,572.65/322,331.10 = 141,661.24/x
  3. Step 3: Cross multiply
    233,572.65x = 322,331.10 × 141,661.24
  4. Step 4: Simplify right side
    233,572.65x = 45,661,821,979.51
  5. Step 5: Solve for x
    x = 45,661,821,979.51/233,572.65
  6. Step 6: Final answer
    x = 195,493.02

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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.