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Finding the Fourth Proportional to 232,716.70, 349,068.10 and 64,247.30

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Solution

The fourth proportional to 232,716.70, 349,068.10 and 64,247.30 is: 96,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716.70 : 349,068.10 = 64,247.30 : x
  2. Step 2: Convert to fraction form
    232,716.70/349,068.10 = 64,247.30/x
  3. Step 3: Cross multiply
    232,716.70x = 349,068.10 × 64,247.30
  4. Step 4: Simplify right side
    232,716.70x = 22,426,683,653.18
  5. Step 5: Solve for x
    x = 22,426,683,653.18/232,716.70
  6. Step 6: Final answer
    x = 96,369.04

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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.