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Finding the Fourth Proportional to 189,641.88, 284,295.72 and 77,416.38

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Solution

The fourth proportional to 189,641.88, 284,295.72 and 77,416.38 is: 116,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,641.88 : 284,295.72 = 77,416.38 : x
  2. Step 2: Convert to fraction form
    189,641.88/284,295.72 = 77,416.38/x
  3. Step 3: Cross multiply
    189,641.88x = 284,295.72 × 77,416.38
  4. Step 4: Simplify right side
    189,641.88x = 22,009,145,491.89
  5. Step 5: Solve for x
    x = 22,009,145,491.89/189,641.88
  6. Step 6: Final answer
    x = 116,056.36

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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.