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Finding the Fourth Proportional to 117,537, 162,270.28 and 71,613.97

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Solution

The fourth proportional to 117,537, 162,270.28 and 71,613.97 is: 98,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537 : 162,270.28 = 71,613.97 : x
  2. Step 2: Convert to fraction form
    117,537/162,270.28 = 71,613.97/x
  3. Step 3: Cross multiply
    117,537x = 162,270.28 × 71,613.97
  4. Step 4: Simplify right side
    117,537x = 11,620,818,963.81
  5. Step 5: Solve for x
    x = 11,620,818,963.81/117,537
  6. Step 6: Final answer
    x = 98,869.45

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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.