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Finding the Fourth Proportional to 212,298.31, 293,063.60 and 151,763.97

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Solution

The fourth proportional to 212,298.31, 293,063.60 and 151,763.97 is: 209,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,298.31 : 293,063.60 = 151,763.97 : x
  2. Step 2: Convert to fraction form
    212,298.31/293,063.60 = 151,763.97/x
  3. Step 3: Cross multiply
    212,298.31x = 293,063.60 × 151,763.97
  4. Step 4: Simplify right side
    212,298.31x = 44,476,494,639.67
  5. Step 5: Solve for x
    x = 44,476,494,639.67/212,298.31
  6. Step 6: Final answer
    x = 209,500.00

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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.