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Finding the Fourth Proportional to 273,064.72, 409,535.64 and 97,960.72

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Solution

The fourth proportional to 273,064.72, 409,535.64 and 97,960.72 is: 146,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,064.72 : 409,535.64 = 97,960.72 : x
  2. Step 2: Convert to fraction form
    273,064.72/409,535.64 = 97,960.72/x
  3. Step 3: Cross multiply
    273,064.72x = 409,535.64 × 97,960.72
  4. Step 4: Simplify right side
    273,064.72x = 40,118,406,160.06
  5. Step 5: Solve for x
    x = 40,118,406,160.06/273,064.72
  6. Step 6: Final answer
    x = 146,919.04

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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.