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Finding the Fourth Proportional to 191,765.40, 286,924.92 and 114,542.11

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Solution

The fourth proportional to 191,765.40, 286,924.92 and 114,542.11 is: 171,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,765.40 : 286,924.92 = 114,542.11 : x
  2. Step 2: Convert to fraction form
    191,765.40/286,924.92 = 114,542.11/x
  3. Step 3: Cross multiply
    191,765.40x = 286,924.92 × 114,542.11
  4. Step 4: Simplify right side
    191,765.40x = 32,864,985,748.38
  5. Step 5: Solve for x
    x = 32,864,985,748.38/191,765.40
  6. Step 6: Final answer
    x = 171,381.21

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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.