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Finding the Fourth Proportional to 189,726.70, 284,918.10 and 101,153.20

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Solution

The fourth proportional to 189,726.70, 284,918.10 and 101,153.20 is: 151,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,726.70 : 284,918.10 = 101,153.20 : x
  2. Step 2: Convert to fraction form
    189,726.70/284,918.10 = 101,153.20/x
  3. Step 3: Cross multiply
    189,726.70x = 284,918.10 × 101,153.20
  4. Step 4: Simplify right side
    189,726.70x = 28,820,377,552.92
  5. Step 5: Solve for x
    x = 28,820,377,552.92/189,726.70
  6. Step 6: Final answer
    x = 151,904.70

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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.