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Finding the Fourth Proportional to 194,165.98, 291,265.81 and 59,260.46

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Solution

The fourth proportional to 194,165.98, 291,265.81 and 59,260.46 is: 88,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,165.98 : 291,265.81 = 59,260.46 : x
  2. Step 2: Convert to fraction form
    194,165.98/291,265.81 = 59,260.46/x
  3. Step 3: Cross multiply
    194,165.98x = 291,265.81 × 59,260.46
  4. Step 4: Simplify right side
    194,165.98x = 17,260,544,278.39
  5. Step 5: Solve for x
    x = 17,260,544,278.39/194,165.98
  6. Step 6: Final answer
    x = 88,895.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.