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Finding the Fourth Proportional to 210,960.31, 291,124.16 and 114,164.09

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Solution

The fourth proportional to 210,960.31, 291,124.16 and 114,164.09 is: 157,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,960.31 : 291,124.16 = 114,164.09 : x
  2. Step 2: Convert to fraction form
    210,960.31/291,124.16 = 114,164.09/x
  3. Step 3: Cross multiply
    210,960.31x = 291,124.16 × 114,164.09
  4. Step 4: Simplify right side
    210,960.31x = 33,235,924,803.41
  5. Step 5: Solve for x
    x = 33,235,924,803.41/210,960.31
  6. Step 6: Final answer
    x = 157,545.87

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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.