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Finding the Fourth Proportional to 256,224.68, 353,590.65 and 141,501.23

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Solution

The fourth proportional to 256,224.68, 353,590.65 and 141,501.23 is: 195,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,224.68 : 353,590.65 = 141,501.23 : x
  2. Step 2: Convert to fraction form
    256,224.68/353,590.65 = 141,501.23/x
  3. Step 3: Cross multiply
    256,224.68x = 353,590.65 × 141,501.23
  4. Step 4: Simplify right side
    256,224.68x = 50,033,510,123.55
  5. Step 5: Solve for x
    x = 50,033,510,123.55/256,224.68
  6. Step 6: Final answer
    x = 195,272.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.