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Finding the Fourth Proportional to 280,735.20, 421,058.25 and 91,200.06

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Solution

The fourth proportional to 280,735.20, 421,058.25 and 91,200.06 is: 136,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,735.20 : 421,058.25 = 91,200.06 : x
  2. Step 2: Convert to fraction form
    280,735.20/421,058.25 = 91,200.06/x
  3. Step 3: Cross multiply
    280,735.20x = 421,058.25 × 91,200.06
  4. Step 4: Simplify right side
    280,735.20x = 38,400,537,663.50
  5. Step 5: Solve for x
    x = 38,400,537,663.50/280,735.20
  6. Step 6: Final answer
    x = 136,785.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.