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Finding the Fourth Proportional to 98,277.70, 147,416.55 and 27,200.20

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Solution

The fourth proportional to 98,277.70, 147,416.55 and 27,200.20 is: 40,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277.70 : 147,416.55 = 27,200.20 : x
  2. Step 2: Convert to fraction form
    98,277.70/147,416.55 = 27,200.20/x
  3. Step 3: Cross multiply
    98,277.70x = 147,416.55 × 27,200.20
  4. Step 4: Simplify right side
    98,277.70x = 4,009,759,643.31
  5. Step 5: Solve for x
    x = 4,009,759,643.31/98,277.70
  6. Step 6: Final answer
    x = 40,800.30

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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.