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Finding the Fourth Proportional to 233,894.17, 322,700.28 and 143,155.54

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Solution

The fourth proportional to 233,894.17, 322,700.28 and 143,155.54 is: 197,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.17 : 322,700.28 = 143,155.54 : x
  2. Step 2: Convert to fraction form
    233,894.17/322,700.28 = 143,155.54/x
  3. Step 3: Cross multiply
    233,894.17x = 322,700.28 × 143,155.54
  4. Step 4: Simplify right side
    233,894.17x = 46,196,332,708.09
  5. Step 5: Solve for x
    x = 46,196,332,708.09/233,894.17
  6. Step 6: Final answer
    x = 197,509.55

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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.