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Finding the Fourth Proportional to 147,145.63, 220,720.53 and 41,964.60

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Solution

The fourth proportional to 147,145.63, 220,720.53 and 41,964.60 is: 62,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,145.63 : 220,720.53 = 41,964.60 : x
  2. Step 2: Convert to fraction form
    147,145.63/220,720.53 = 41,964.60/x
  3. Step 3: Cross multiply
    147,145.63x = 220,720.53 × 41,964.60
  4. Step 4: Simplify right side
    147,145.63x = 9,262,448,543.42
  5. Step 5: Solve for x
    x = 9,262,448,543.42/147,145.63
  6. Step 6: Final answer
    x = 62,947.50

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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.