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Finding the Fourth Proportional to 358,209.77, 537,065.54 and 133,509.87

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Solution

The fourth proportional to 358,209.77, 537,065.54 and 133,509.87 is: 200,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,209.77 : 537,065.54 = 133,509.87 : x
  2. Step 2: Convert to fraction form
    358,209.77/537,065.54 = 133,509.87/x
  3. Step 3: Cross multiply
    358,209.77x = 537,065.54 × 133,509.87
  4. Step 4: Simplify right side
    358,209.77x = 71,703,550,259.99
  5. Step 5: Solve for x
    x = 71,703,550,259.99/358,209.77
  6. Step 6: Final answer
    x = 200,171.96

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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.