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Finding the Fourth Proportional to 216,349.90, 323,175.70 and 160,299.48

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Solution

The fourth proportional to 216,349.90, 323,175.70 and 160,299.48 is: 239,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,349.90 : 323,175.70 = 160,299.48 : x
  2. Step 2: Convert to fraction form
    216,349.90/323,175.70 = 160,299.48/x
  3. Step 3: Cross multiply
    216,349.90x = 323,175.70 × 160,299.48
  4. Step 4: Simplify right side
    216,349.90x = 51,804,896,658.64
  5. Step 5: Solve for x
    x = 51,804,896,658.64/216,349.90
  6. Step 6: Final answer
    x = 239,449.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.