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Finding the Fourth Proportional to 189,710.88, 284,527.44 and 69,726.48

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Solution

The fourth proportional to 189,710.88, 284,527.44 and 69,726.48 is: 104,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,710.88 : 284,527.44 = 69,726.48 : x
  2. Step 2: Convert to fraction form
    189,710.88/284,527.44 = 69,726.48/x
  3. Step 3: Cross multiply
    189,710.88x = 284,527.44 × 69,726.48
  4. Step 4: Simplify right side
    189,710.88x = 19,839,096,854.61
  5. Step 5: Solve for x
    x = 19,839,096,854.61/189,710.88
  6. Step 6: Final answer
    x = 104,575.43

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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.