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Finding the Fourth Proportional to 208,723, 288,037.74 and 119,300.92

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Solution

The fourth proportional to 208,723, 288,037.74 and 119,300.92 is: 164,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,723 : 288,037.74 = 119,300.92 : x
  2. Step 2: Convert to fraction form
    208,723/288,037.74 = 119,300.92/x
  3. Step 3: Cross multiply
    208,723x = 288,037.74 × 119,300.92
  4. Step 4: Simplify right side
    208,723x = 34,363,167,376.72
  5. Step 5: Solve for x
    x = 34,363,167,376.72/208,723
  6. Step 6: Final answer
    x = 164,635.27

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1.5x scale

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.