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Finding the Fourth Proportional to 182,202.61, 273,303.96 and 97,846.74

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Solution

The fourth proportional to 182,202.61, 273,303.96 and 97,846.74 is: 146,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,202.61 : 273,303.96 = 97,846.74 : x
  2. Step 2: Convert to fraction form
    182,202.61/273,303.96 = 97,846.74/x
  3. Step 3: Cross multiply
    182,202.61x = 273,303.96 × 97,846.74
  4. Step 4: Simplify right side
    182,202.61x = 26,741,901,515.09
  5. Step 5: Solve for x
    x = 26,741,901,515.09/182,202.61
  6. Step 6: Final answer
    x = 146,770.13

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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.