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Finding the Fourth Proportional to 188,477.20, 282,715.80 and 83,501.20

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Solution

The fourth proportional to 188,477.20, 282,715.80 and 83,501.20 is: 125,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,477.20 : 282,715.80 = 83,501.20 : x
  2. Step 2: Convert to fraction form
    188,477.20/282,715.80 = 83,501.20/x
  3. Step 3: Cross multiply
    188,477.20x = 282,715.80 × 83,501.20
  4. Step 4: Simplify right side
    188,477.20x = 23,607,108,558.96
  5. Step 5: Solve for x
    x = 23,607,108,558.96/188,477.20
  6. Step 6: Final answer
    x = 125,251.80

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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.