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Finding the Fourth Proportional to 147,617.10, 221,097.60 and 114,228.90

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Solution

The fourth proportional to 147,617.10, 221,097.60 and 114,228.90 is: 171,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,617.10 : 221,097.60 = 114,228.90 : x
  2. Step 2: Convert to fraction form
    147,617.10/221,097.60 = 114,228.90/x
  3. Step 3: Cross multiply
    147,617.10x = 221,097.60 × 114,228.90
  4. Step 4: Simplify right side
    147,617.10x = 25,255,735,640.64
  5. Step 5: Solve for x
    x = 25,255,735,640.64/147,617.10
  6. Step 6: Final answer
    x = 171,089.50

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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.