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Finding the Fourth Proportional to 256,443.24, 353,899.81 and 140,154.16

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Solution

The fourth proportional to 256,443.24, 353,899.81 and 140,154.16 is: 193,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,443.24 : 353,899.81 = 140,154.16 : x
  2. Step 2: Convert to fraction form
    256,443.24/353,899.81 = 140,154.16/x
  3. Step 3: Cross multiply
    256,443.24x = 353,899.81 × 140,154.16
  4. Step 4: Simplify right side
    256,443.24x = 49,600,529,601.04
  5. Step 5: Solve for x
    x = 49,600,529,601.04/256,443.24
  6. Step 6: Final answer
    x = 193,417.19

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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.