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Finding the Fourth Proportional to 130,592.86, 195,908.02 and 49,569.77

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Solution

The fourth proportional to 130,592.86, 195,908.02 and 49,569.77 is: 74,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,592.86 : 195,908.02 = 49,569.77 : x
  2. Step 2: Convert to fraction form
    130,592.86/195,908.02 = 49,569.77/x
  3. Step 3: Cross multiply
    130,592.86x = 195,908.02 × 49,569.77
  4. Step 4: Simplify right side
    130,592.86x = 9,711,115,858.40
  5. Step 5: Solve for x
    x = 9,711,115,858.40/130,592.86
  6. Step 6: Final answer
    x = 74,361.77

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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.