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Finding the Fourth Proportional to 191,180.80, 286,828.80 and 135,884.80

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Solution

The fourth proportional to 191,180.80, 286,828.80 and 135,884.80 is: 203,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,180.80 : 286,828.80 = 135,884.80 : x
  2. Step 2: Convert to fraction form
    191,180.80/286,828.80 = 135,884.80/x
  3. Step 3: Cross multiply
    191,180.80x = 286,828.80 × 135,884.80
  4. Step 4: Simplify right side
    191,180.80x = 38,975,674,122.24
  5. Step 5: Solve for x
    x = 38,975,674,122.24/191,180.80
  6. Step 6: Final answer
    x = 203,868.14

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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.