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Finding the Fourth Proportional to 153,600, 211,968 and 82,944

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Solution

The fourth proportional to 153,600, 211,968 and 82,944 is: 114,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,600 : 211,968 = 82,944 : x
  2. Step 2: Convert to fraction form
    153,600/211,968 = 82,944/x
  3. Step 3: Cross multiply
    153,600x = 211,968 × 82,944
  4. Step 4: Simplify right side
    153,600x = 17,581,473,792
  5. Step 5: Solve for x
    x = 17,581,473,792/153,600
  6. Step 6: Final answer
    x = 114,462.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.