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Finding the Fourth Proportional to 215,696.40, 323,467.80 and 97,424.40

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Solution

The fourth proportional to 215,696.40, 323,467.80 and 97,424.40 is: 146,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,696.40 : 323,467.80 = 97,424.40 : x
  2. Step 2: Convert to fraction form
    215,696.40/323,467.80 = 97,424.40/x
  3. Step 3: Cross multiply
    215,696.40x = 323,467.80 × 97,424.40
  4. Step 4: Simplify right side
    215,696.40x = 31,513,656,334.32
  5. Step 5: Solve for x
    x = 31,513,656,334.32/215,696.40
  6. Step 6: Final answer
    x = 146,101.91

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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.