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Finding the Fourth Proportional to 100,665.84, 138,915.36 and 64,857.36

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Solution

The fourth proportional to 100,665.84, 138,915.36 and 64,857.36 is: 89,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,665.84 : 138,915.36 = 64,857.36 : x
  2. Step 2: Convert to fraction form
    100,665.84/138,915.36 = 64,857.36/x
  3. Step 3: Cross multiply
    100,665.84x = 138,915.36 × 64,857.36
  4. Step 4: Simplify right side
    100,665.84x = 9,009,683,513.05
  5. Step 5: Solve for x
    x = 9,009,683,513.05/100,665.84
  6. Step 6: Final answer
    x = 89,500.90

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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.