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Finding the Fourth Proportional to 185,298.81, 277,901.73 and 71,423.76

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Solution

The fourth proportional to 185,298.81, 277,901.73 and 71,423.76 is: 107,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,298.81 : 277,901.73 = 71,423.76 : x
  2. Step 2: Convert to fraction form
    185,298.81/277,901.73 = 71,423.76/x
  3. Step 3: Cross multiply
    185,298.81x = 277,901.73 × 71,423.76
  4. Step 4: Simplify right side
    185,298.81x = 19,848,787,509.24
  5. Step 5: Solve for x
    x = 19,848,787,509.24/185,298.81
  6. Step 6: Final answer
    x = 107,117.73

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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.