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Finding the Fourth Proportional to 256,252.06, 353,502.07 and 165,685.69

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Solution

The fourth proportional to 256,252.06, 353,502.07 and 165,685.69 is: 228,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,252.06 : 353,502.07 = 165,685.69 : x
  2. Step 2: Convert to fraction form
    256,252.06/353,502.07 = 165,685.69/x
  3. Step 3: Cross multiply
    256,252.06x = 353,502.07 × 165,685.69
  4. Step 4: Simplify right side
    256,252.06x = 58,570,234,384.38
  5. Step 5: Solve for x
    x = 58,570,234,384.38/256,252.06
  6. Step 6: Final answer
    x = 228,564.93

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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.