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Finding the Fourth Proportional to 256,184.37, 353,507.59 and 148,733.42

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Solution

The fourth proportional to 256,184.37, 353,507.59 and 148,733.42 is: 205,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,184.37 : 353,507.59 = 148,733.42 : x
  2. Step 2: Convert to fraction form
    256,184.37/353,507.59 = 148,733.42/x
  3. Step 3: Cross multiply
    256,184.37x = 353,507.59 × 148,733.42
  4. Step 4: Simplify right side
    256,184.37x = 52,578,391,275.04
  5. Step 5: Solve for x
    x = 52,578,391,275.04/256,184.37
  6. Step 6: Final answer
    x = 205,236.53

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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.