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Finding the Fourth Proportional to 256,098.32, 353,406.43 and 141,374.51

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Solution

The fourth proportional to 256,098.32, 353,406.43 and 141,374.51 is: 195,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.32 : 353,406.43 = 141,374.51 : x
  2. Step 2: Convert to fraction form
    256,098.32/353,406.43 = 141,374.51/x
  3. Step 3: Cross multiply
    256,098.32x = 353,406.43 × 141,374.51
  4. Step 4: Simplify right side
    256,098.32x = 49,962,658,751.63
  5. Step 5: Solve for x
    x = 49,962,658,751.63/256,098.32
  6. Step 6: Final answer
    x = 195,091.71

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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.