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Finding the Fourth Proportional to 256,574.45, 354,083.67 and 143,397.20

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Solution

The fourth proportional to 256,574.45, 354,083.67 and 143,397.20 is: 197,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,574.45 : 354,083.67 = 143,397.20 : x
  2. Step 2: Convert to fraction form
    256,574.45/354,083.67 = 143,397.20/x
  3. Step 3: Cross multiply
    256,574.45x = 354,083.67 × 143,397.20
  4. Step 4: Simplify right side
    256,574.45x = 50,774,605,073.31
  5. Step 5: Solve for x
    x = 50,774,605,073.31/256,574.45
  6. Step 6: Final answer
    x = 197,894.24

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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.