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Finding the Fourth Proportional to 151,603.24, 209,212.02 and 84,535.24

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Solution

The fourth proportional to 151,603.24, 209,212.02 and 84,535.24 is: 116,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,603.24 : 209,212.02 = 84,535.24 : x
  2. Step 2: Convert to fraction form
    151,603.24/209,212.02 = 84,535.24/x
  3. Step 3: Cross multiply
    151,603.24x = 209,212.02 × 84,535.24
  4. Step 4: Simplify right side
    151,603.24x = 17,685,788,321.58
  5. Step 5: Solve for x
    x = 17,685,788,321.58/151,603.24
  6. Step 6: Final answer
    x = 116,658.38

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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.