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Finding the Fourth Proportional to 99,096.87, 148,668.01 and 42,946.40

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Solution

The fourth proportional to 99,096.87, 148,668.01 and 42,946.40 is: 64,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,096.87 : 148,668.01 = 42,946.40 : x
  2. Step 2: Convert to fraction form
    99,096.87/148,668.01 = 42,946.40/x
  3. Step 3: Cross multiply
    99,096.87x = 148,668.01 × 42,946.40
  4. Step 4: Simplify right side
    99,096.87x = 6,384,755,824.66
  5. Step 5: Solve for x
    x = 6,384,755,824.66/99,096.87
  6. Step 6: Final answer
    x = 64,429.44

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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.