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Finding the Fourth Proportional to 191,123.62, 285,072.93 and 165,965.83

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Solution

The fourth proportional to 191,123.62, 285,072.93 and 165,965.83 is: 247,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,123.62 : 285,072.93 = 165,965.83 : x
  2. Step 2: Convert to fraction form
    191,123.62/285,072.93 = 165,965.83/x
  3. Step 3: Cross multiply
    191,123.62x = 285,072.93 × 165,965.83
  4. Step 4: Simplify right side
    191,123.62x = 47,312,363,182.79
  5. Step 5: Solve for x
    x = 47,312,363,182.79/191,123.62
  6. Step 6: Final answer
    x = 247,548.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.