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Finding the Fourth Proportional to 106,603.54, 147,097.14 and 61,283.44

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Solution

The fourth proportional to 106,603.54, 147,097.14 and 61,283.44 is: 84,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,603.54 : 147,097.14 = 61,283.44 : x
  2. Step 2: Convert to fraction form
    106,603.54/147,097.14 = 61,283.44/x
  3. Step 3: Cross multiply
    106,603.54x = 147,097.14 × 61,283.44
  4. Step 4: Simplify right side
    106,603.54x = 9,014,618,753.36
  5. Step 5: Solve for x
    x = 9,014,618,753.36/106,603.54
  6. Step 6: Final answer
    x = 84,562.10

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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.