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Finding the Fourth Proportional to 233,448.66, 322,154.76 and 142,797.97

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Solution

The fourth proportional to 233,448.66, 322,154.76 and 142,797.97 is: 197,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,448.66 : 322,154.76 = 142,797.97 : x
  2. Step 2: Convert to fraction form
    233,448.66/322,154.76 = 142,797.97/x
  3. Step 3: Cross multiply
    233,448.66x = 322,154.76 × 142,797.97
  4. Step 4: Simplify right side
    233,448.66x = 46,003,045,753.84
  5. Step 5: Solve for x
    x = 46,003,045,753.84/233,448.66
  6. Step 6: Final answer
    x = 197,058.51

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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.