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Finding the Fourth Proportional to 200,898.92, 301,348.40 and 156,558.89

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Solution

The fourth proportional to 200,898.92, 301,348.40 and 156,558.89 is: 234,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,898.92 : 301,348.40 = 156,558.89 : x
  2. Step 2: Convert to fraction form
    200,898.92/301,348.40 = 156,558.89/x
  3. Step 3: Cross multiply
    200,898.92x = 301,348.40 × 156,558.89
  4. Step 4: Simplify right side
    200,898.92x = 47,178,768,717.74
  5. Step 5: Solve for x
    x = 47,178,768,717.74/200,898.92
  6. Step 6: Final answer
    x = 234,838.35

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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.