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Finding the Fourth Proportional to 275,124.48, 412,159.68 and 186,224.64

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Solution

The fourth proportional to 275,124.48, 412,159.68 and 186,224.64 is: 278,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,124.48 : 412,159.68 = 186,224.64 : x
  2. Step 2: Convert to fraction form
    275,124.48/412,159.68 = 186,224.64/x
  3. Step 3: Cross multiply
    275,124.48x = 412,159.68 × 186,224.64
  4. Step 4: Simplify right side
    275,124.48x = 76,754,288,030.52
  5. Step 5: Solve for x
    x = 76,754,288,030.52/275,124.48
  6. Step 6: Final answer
    x = 278,980.22

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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.