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Finding the Fourth Proportional to 189,569.76, 284,357.52 and 63,207.84

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Solution

The fourth proportional to 189,569.76, 284,357.52 and 63,207.84 is: 94,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,569.76 : 284,357.52 = 63,207.84 : x
  2. Step 2: Convert to fraction form
    189,569.76/284,357.52 = 63,207.84/x
  3. Step 3: Cross multiply
    189,569.76x = 284,357.52 × 63,207.84
  4. Step 4: Simplify right side
    189,569.76x = 17,973,624,626.96
  5. Step 5: Solve for x
    x = 17,973,624,626.96/189,569.76
  6. Step 6: Final answer
    x = 94,812.72

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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.