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Finding the Fourth Proportional to 188,574.48, 282,793.68 and 55,419.12

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Solution

The fourth proportional to 188,574.48, 282,793.68 and 55,419.12 is: 83,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,574.48 : 282,793.68 = 55,419.12 : x
  2. Step 2: Convert to fraction form
    188,574.48/282,793.68 = 55,419.12/x
  3. Step 3: Cross multiply
    188,574.48x = 282,793.68 × 55,419.12
  4. Step 4: Simplify right side
    188,574.48x = 15,672,176,887.16
  5. Step 5: Solve for x
    x = 15,672,176,887.16/188,574.48
  6. Step 6: Final answer
    x = 83,108.68

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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.