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Finding the Fourth Proportional to 106,580.58, 147,062.79 and 61,247.94

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Solution

The fourth proportional to 106,580.58, 147,062.79 and 61,247.94 is: 84,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.58 : 147,062.79 = 61,247.94 : x
  2. Step 2: Convert to fraction form
    106,580.58/147,062.79 = 61,247.94/x
  3. Step 3: Cross multiply
    106,580.58x = 147,062.79 × 61,247.94
  4. Step 4: Simplify right side
    106,580.58x = 9,007,292,938.15
  5. Step 5: Solve for x
    x = 9,007,292,938.15/106,580.58
  6. Step 6: Final answer
    x = 84,511.58

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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.