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Finding the Fourth Proportional to 256,291.53, 353,680.91 and 141,578.07

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Solution

The fourth proportional to 256,291.53, 353,680.91 and 141,578.07 is: 195,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,291.53 : 353,680.91 = 141,578.07 : x
  2. Step 2: Convert to fraction form
    256,291.53/353,680.91 = 141,578.07/x
  3. Step 3: Cross multiply
    256,291.53x = 353,680.91 × 141,578.07
  4. Step 4: Simplify right side
    256,291.53x = 50,073,459,925.75
  5. Step 5: Solve for x
    x = 50,073,459,925.75/256,291.53
  6. Step 6: Final answer
    x = 195,376.96

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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.