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Finding the Fourth Proportional to 119,564.63, 165,078.60 and 74,310.14

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Solution

The fourth proportional to 119,564.63, 165,078.60 and 74,310.14 is: 102,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,564.63 : 165,078.60 = 74,310.14 : x
  2. Step 2: Convert to fraction form
    119,564.63/165,078.60 = 74,310.14/x
  3. Step 3: Cross multiply
    119,564.63x = 165,078.60 × 74,310.14
  4. Step 4: Simplify right side
    119,564.63x = 12,267,013,877.00
  5. Step 5: Solve for x
    x = 12,267,013,877.00/119,564.63
  6. Step 6: Final answer
    x = 102,597.35

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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.