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Finding the Fourth Proportional to 282,526.48, 423,789.32 and 72,164.48

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Solution

The fourth proportional to 282,526.48, 423,789.32 and 72,164.48 is: 108,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,526.48 : 423,789.32 = 72,164.48 : x
  2. Step 2: Convert to fraction form
    282,526.48/423,789.32 = 72,164.48/x
  3. Step 3: Cross multiply
    282,526.48x = 423,789.32 × 72,164.48
  4. Step 4: Simplify right side
    282,526.48x = 30,582,535,907.35
  5. Step 5: Solve for x
    x = 30,582,535,907.35/282,526.48
  6. Step 6: Final answer
    x = 108,246.62

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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.