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Finding the Fourth Proportional to 208,951, 288,352.38 and 119,527

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Solution

The fourth proportional to 208,951, 288,352.38 and 119,527 is: 164,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951 : 288,352.38 = 119,527 : x
  2. Step 2: Convert to fraction form
    208,951/288,352.38 = 119,527/x
  3. Step 3: Cross multiply
    208,951x = 288,352.38 × 119,527
  4. Step 4: Simplify right side
    208,951x = 34,465,894,924.26
  5. Step 5: Solve for x
    x = 34,465,894,924.26/208,951
  6. Step 6: Final answer
    x = 164,947.26

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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.