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Finding the Fourth Proportional to 165,603.80, 248,419.20 and 70,834.70

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Solution

The fourth proportional to 165,603.80, 248,419.20 and 70,834.70 is: 106,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,603.80 : 248,419.20 = 70,834.70 : x
  2. Step 2: Convert to fraction form
    165,603.80/248,419.20 = 70,834.70/x
  3. Step 3: Cross multiply
    165,603.80x = 248,419.20 × 70,834.70
  4. Step 4: Simplify right side
    165,603.80x = 17,596,699,506.24
  5. Step 5: Solve for x
    x = 17,596,699,506.24/165,603.80
  6. Step 6: Final answer
    x = 106,257.82

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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.