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Finding the Fourth Proportional to 208,732, 288,050.16 and 119,309.92

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Solution

The fourth proportional to 208,732, 288,050.16 and 119,309.92 is: 164,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732 : 288,050.16 = 119,309.92 : x
  2. Step 2: Convert to fraction form
    208,732/288,050.16 = 119,309.92/x
  3. Step 3: Cross multiply
    208,732x = 288,050.16 × 119,309.92
  4. Step 4: Simplify right side
    208,732x = 34,367,241,545.59
  5. Step 5: Solve for x
    x = 34,367,241,545.59/208,732
  6. Step 6: Final answer
    x = 164,647.69

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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.