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Finding the Fourth Proportional to 293,261, 404,700.18 and 159,125

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Solution

The fourth proportional to 293,261, 404,700.18 and 159,125 is: 219,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,261 : 404,700.18 = 159,125 : x
  2. Step 2: Convert to fraction form
    293,261/404,700.18 = 159,125/x
  3. Step 3: Cross multiply
    293,261x = 404,700.18 × 159,125
  4. Step 4: Simplify right side
    293,261x = 64,397,916,142.50
  5. Step 5: Solve for x
    x = 64,397,916,142.50/293,261
  6. Step 6: Final answer
    x = 219,592.50

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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.