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Finding the Fourth Proportional to 189,569.60, 284,277.60 and 64,846.40

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Solution

The fourth proportional to 189,569.60, 284,277.60 and 64,846.40 is: 97,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,569.60 : 284,277.60 = 64,846.40 : x
  2. Step 2: Convert to fraction form
    189,569.60/284,277.60 = 64,846.40/x
  3. Step 3: Cross multiply
    189,569.60x = 284,277.60 × 64,846.40
  4. Step 4: Simplify right side
    189,569.60x = 18,434,378,960.64
  5. Step 5: Solve for x
    x = 18,434,378,960.64/189,569.60
  6. Step 6: Final answer
    x = 97,243.33

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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.