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Finding the Fourth Proportional to 194,462.76, 268,358.60 and 105,038.76

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Solution

The fourth proportional to 194,462.76, 268,358.60 and 105,038.76 is: 144,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462.76 : 268,358.60 = 105,038.76 : x
  2. Step 2: Convert to fraction form
    194,462.76/268,358.60 = 105,038.76/x
  3. Step 3: Cross multiply
    194,462.76x = 268,358.60 × 105,038.76
  4. Step 4: Simplify right side
    194,462.76x = 28,188,054,579.34
  5. Step 5: Solve for x
    x = 28,188,054,579.34/194,462.76
  6. Step 6: Final answer
    x = 144,953.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.