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Finding the Fourth Proportional to 191,123.82, 286,684.11 and 48,968.82

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Solution

The fourth proportional to 191,123.82, 286,684.11 and 48,968.82 is: 73,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,123.82 : 286,684.11 = 48,968.82 : x
  2. Step 2: Convert to fraction form
    191,123.82/286,684.11 = 48,968.82/x
  3. Step 3: Cross multiply
    191,123.82x = 286,684.11 × 48,968.82
  4. Step 4: Simplify right side
    191,123.82x = 14,038,582,579.45
  5. Step 5: Solve for x
    x = 14,038,582,579.45/191,123.82
  6. Step 6: Final answer
    x = 73,452.81

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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.