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Finding the Fourth Proportional to 212,740.96, 293,577.47 and 115,947.88

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Solution

The fourth proportional to 212,740.96, 293,577.47 and 115,947.88 is: 160,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,740.96 : 293,577.47 = 115,947.88 : x
  2. Step 2: Convert to fraction form
    212,740.96/293,577.47 = 115,947.88/x
  3. Step 3: Cross multiply
    212,740.96x = 293,577.47 × 115,947.88
  4. Step 4: Simplify right side
    212,740.96x = 34,039,683,794.38
  5. Step 5: Solve for x
    x = 34,039,683,794.38/212,740.96
  6. Step 6: Final answer
    x = 160,005.31

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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.