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Finding the Fourth Proportional to 256,187.68, 353,544.96 and 160,698.40

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Solution

The fourth proportional to 256,187.68, 353,544.96 and 160,698.40 is: 221,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,187.68 : 353,544.96 = 160,698.40 : x
  2. Step 2: Convert to fraction form
    256,187.68/353,544.96 = 160,698.40/x
  3. Step 3: Cross multiply
    256,187.68x = 353,544.96 × 160,698.40
  4. Step 4: Simplify right side
    256,187.68x = 56,814,109,400.06
  5. Step 5: Solve for x
    x = 56,814,109,400.06/256,187.68
  6. Step 6: Final answer
    x = 221,767.53

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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.