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Finding the Fourth Proportional to 106,564.10, 146,968.17 and 64,114.70

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Solution

The fourth proportional to 106,564.10, 146,968.17 and 64,114.70 is: 88,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.10 : 146,968.17 = 64,114.70 : x
  2. Step 2: Convert to fraction form
    106,564.10/146,968.17 = 64,114.70/x
  3. Step 3: Cross multiply
    106,564.10x = 146,968.17 × 64,114.70
  4. Step 4: Simplify right side
    106,564.10x = 9,422,820,129.10
  5. Step 5: Solve for x
    x = 9,422,820,129.10/106,564.10
  6. Step 6: Final answer
    x = 88,423.96

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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.