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Finding the Fourth Proportional to 106,466.76, 146,918.70 and 61,113.24

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Solution

The fourth proportional to 106,466.76, 146,918.70 and 61,113.24 is: 84,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466.76 : 146,918.70 = 61,113.24 : x
  2. Step 2: Convert to fraction form
    106,466.76/146,918.70 = 61,113.24/x
  3. Step 3: Cross multiply
    106,466.76x = 146,918.70 × 61,113.24
  4. Step 4: Simplify right side
    106,466.76x = 8,978,677,773.59
  5. Step 5: Solve for x
    x = 8,978,677,773.59/106,466.76
  6. Step 6: Final answer
    x = 84,333.16

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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.