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Finding the Fourth Proportional to 216,349.84, 324,369.20 and 97,960.24

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Solution

The fourth proportional to 216,349.84, 324,369.20 and 97,960.24 is: 146,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,349.84 : 324,369.20 = 97,960.24 : x
  2. Step 2: Convert to fraction form
    216,349.84/324,369.20 = 97,960.24/x
  3. Step 3: Cross multiply
    216,349.84x = 324,369.20 × 97,960.24
  4. Step 4: Simplify right side
    216,349.84x = 31,775,284,680.61
  5. Step 5: Solve for x
    x = 31,775,284,680.61/216,349.84
  6. Step 6: Final answer
    x = 146,869.92

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1.5x scale

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.