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Finding the Fourth Proportional to 455,732.92, 683,150.10 and 160,037.56

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Solution

The fourth proportional to 455,732.92, 683,150.10 and 160,037.56 is: 239,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,732.92 : 683,150.10 = 160,037.56 : x
  2. Step 2: Convert to fraction form
    455,732.92/683,150.10 = 160,037.56/x
  3. Step 3: Cross multiply
    455,732.92x = 683,150.10 × 160,037.56
  4. Step 4: Simplify right side
    455,732.92x = 109,329,675,117.76
  5. Step 5: Solve for x
    x = 109,329,675,117.76/455,732.92
  6. Step 6: Final answer
    x = 239,898.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.