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Finding the Fourth Proportional to 146,741.40, 220,112.10 and 144,773.10

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Solution

The fourth proportional to 146,741.40, 220,112.10 and 144,773.10 is: 217,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,741.40 : 220,112.10 = 144,773.10 : x
  2. Step 2: Convert to fraction form
    146,741.40/220,112.10 = 144,773.10/x
  3. Step 3: Cross multiply
    146,741.40x = 220,112.10 × 144,773.10
  4. Step 4: Simplify right side
    146,741.40x = 31,866,311,064.51
  5. Step 5: Solve for x
    x = 31,866,311,064.51/146,741.40
  6. Step 6: Final answer
    x = 217,159.65

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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.