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Finding the Fourth Proportional to 208,746, 288,069.48 and 119,323.92

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Solution

The fourth proportional to 208,746, 288,069.48 and 119,323.92 is: 164,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,746 : 288,069.48 = 119,323.92 : x
  2. Step 2: Convert to fraction form
    208,746/288,069.48 = 119,323.92/x
  3. Step 3: Cross multiply
    208,746x = 288,069.48 × 119,323.92
  4. Step 4: Simplify right side
    208,746x = 34,373,579,585.96
  5. Step 5: Solve for x
    x = 34,373,579,585.96/208,746
  6. Step 6: Final answer
    x = 164,667.01

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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.