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Finding the Fourth Proportional to 256,074.71, 353,364.17 and 148,627.40

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Solution

The fourth proportional to 256,074.71, 353,364.17 and 148,627.40 is: 205,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.71 : 353,364.17 = 148,627.40 : x
  2. Step 2: Convert to fraction form
    256,074.71/353,364.17 = 148,627.40/x
  3. Step 3: Cross multiply
    256,074.71x = 353,364.17 × 148,627.40
  4. Step 4: Simplify right side
    256,074.71x = 52,519,595,330.30
  5. Step 5: Solve for x
    x = 52,519,595,330.30/256,074.71
  6. Step 6: Final answer
    x = 205,094.82

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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.