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Finding the Fourth Proportional to 146,210.60, 219,315.90 and 41,047.40

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Solution

The fourth proportional to 146,210.60, 219,315.90 and 41,047.40 is: 61,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210.60 : 219,315.90 = 41,047.40 : x
  2. Step 2: Convert to fraction form
    146,210.60/219,315.90 = 41,047.40/x
  3. Step 3: Cross multiply
    146,210.60x = 219,315.90 × 41,047.40
  4. Step 4: Simplify right side
    146,210.60x = 9,002,347,473.66
  5. Step 5: Solve for x
    x = 9,002,347,473.66/146,210.60
  6. Step 6: Final answer
    x = 61,571.10

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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.