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Finding the Fourth Proportional to 93,794.52, 140,569.74 and 71,526

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Solution

The fourth proportional to 93,794.52, 140,569.74 and 71,526 is: 107,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,794.52 : 140,569.74 = 71,526 : x
  2. Step 2: Convert to fraction form
    93,794.52/140,569.74 = 71,526/x
  3. Step 3: Cross multiply
    93,794.52x = 140,569.74 × 71,526
  4. Step 4: Simplify right side
    93,794.52x = 10,054,391,223.24
  5. Step 5: Solve for x
    x = 10,054,391,223.24/93,794.52
  6. Step 6: Final answer
    x = 107,195.93

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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.