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Finding the Fourth Proportional to 216,586.52, 298,880.64 and 119,784

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Solution

The fourth proportional to 216,586.52, 298,880.64 and 119,784 is: 165,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,586.52 : 298,880.64 = 119,784 : x
  2. Step 2: Convert to fraction form
    216,586.52/298,880.64 = 119,784/x
  3. Step 3: Cross multiply
    216,586.52x = 298,880.64 × 119,784
  4. Step 4: Simplify right side
    216,586.52x = 35,801,118,581.76
  5. Step 5: Solve for x
    x = 35,801,118,581.76/216,586.52
  6. Step 6: Final answer
    x = 165,297.08

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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.