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Finding the Fourth Proportional to 256,071.10, 353,378.10 and 141,349.72

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Solution

The fourth proportional to 256,071.10, 353,378.10 and 141,349.72 is: 195,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,071.10 : 353,378.10 = 141,349.72 : x
  2. Step 2: Convert to fraction form
    256,071.10/353,378.10 = 141,349.72/x
  3. Step 3: Cross multiply
    256,071.10x = 353,378.10 × 141,349.72
  4. Step 4: Simplify right side
    256,071.10x = 49,949,895,489.13
  5. Step 5: Solve for x
    x = 49,949,895,489.13/256,071.10
  6. Step 6: Final answer
    x = 195,062.60

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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.