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Finding the Fourth Proportional to 208,948, 288,348.24 and 119,524

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Solution

The fourth proportional to 208,948, 288,348.24 and 119,524 is: 164,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,948 : 288,348.24 = 119,524 : x
  2. Step 2: Convert to fraction form
    208,948/288,348.24 = 119,524/x
  3. Step 3: Cross multiply
    208,948x = 288,348.24 × 119,524
  4. Step 4: Simplify right side
    208,948x = 34,464,535,037.76
  5. Step 5: Solve for x
    x = 34,464,535,037.76/208,948
  6. Step 6: Final answer
    x = 164,943.12

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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.