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Finding the Fourth Proportional to 119,716.02, 165,203.02 and 65,267.01

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Solution

The fourth proportional to 119,716.02, 165,203.02 and 65,267.01 is: 90,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,716.02 : 165,203.02 = 65,267.01 : x
  2. Step 2: Convert to fraction form
    119,716.02/165,203.02 = 65,267.01/x
  3. Step 3: Cross multiply
    119,716.02x = 165,203.02 × 65,267.01
  4. Step 4: Simplify right side
    119,716.02x = 10,782,307,158.37
  5. Step 5: Solve for x
    x = 10,782,307,158.37/119,716.02
  6. Step 6: Final answer
    x = 90,065.70

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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.