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Finding the Fourth Proportional to 256,185.78, 352,753.74 and 232,156.14

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Solution

The fourth proportional to 256,185.78, 352,753.74 and 232,156.14 is: 319,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,185.78 : 352,753.74 = 232,156.14 : x
  2. Step 2: Convert to fraction form
    256,185.78/352,753.74 = 232,156.14/x
  3. Step 3: Cross multiply
    256,185.78x = 352,753.74 × 232,156.14
  4. Step 4: Simplify right side
    256,185.78x = 81,893,946,648.96
  5. Step 5: Solve for x
    x = 81,893,946,648.96/256,185.78
  6. Step 6: Final answer
    x = 319,666.25

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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.