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Finding the Fourth Proportional to 208,448, 287,658.24 and 119,024

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Solution

The fourth proportional to 208,448, 287,658.24 and 119,024 is: 164,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,448 : 287,658.24 = 119,024 : x
  2. Step 2: Convert to fraction form
    208,448/287,658.24 = 119,024/x
  3. Step 3: Cross multiply
    208,448x = 287,658.24 × 119,024
  4. Step 4: Simplify right side
    208,448x = 34,238,234,357.76
  5. Step 5: Solve for x
    x = 34,238,234,357.76/208,448
  6. Step 6: Final answer
    x = 164,253.12

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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.