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Finding the Fourth Proportional to 208,252.65, 312,339.25 and 101,529.48

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Solution

The fourth proportional to 208,252.65, 312,339.25 and 101,529.48 is: 152,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,252.65 : 312,339.25 = 101,529.48 : x
  2. Step 2: Convert to fraction form
    208,252.65/312,339.25 = 101,529.48/x
  3. Step 3: Cross multiply
    208,252.65x = 312,339.25 × 101,529.48
  4. Step 4: Simplify right side
    208,252.65x = 31,711,641,636.09
  5. Step 5: Solve for x
    x = 31,711,641,636.09/208,252.65
  6. Step 6: Final answer
    x = 152,274.85

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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.