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Finding the Fourth Proportional to 117,097.40, 175,626.11 and 42,202.64

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Solution

The fourth proportional to 117,097.40, 175,626.11 and 42,202.64 is: 63,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,097.40 : 175,626.11 = 42,202.64 : x
  2. Step 2: Convert to fraction form
    117,097.40/175,626.11 = 42,202.64/x
  3. Step 3: Cross multiply
    117,097.40x = 175,626.11 × 42,202.64
  4. Step 4: Simplify right side
    117,097.40x = 7,411,884,722.31
  5. Step 5: Solve for x
    x = 7,411,884,722.31/117,097.40
  6. Step 6: Final answer
    x = 63,296.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.