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Finding the Fourth Proportional to 142,596.13, 213,968.04 and 72,475.51

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Solution

The fourth proportional to 142,596.13, 213,968.04 and 72,475.51 is: 108,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,596.13 : 213,968.04 = 72,475.51 : x
  2. Step 2: Convert to fraction form
    142,596.13/213,968.04 = 72,475.51/x
  3. Step 3: Cross multiply
    142,596.13x = 213,968.04 × 72,475.51
  4. Step 4: Simplify right side
    142,596.13x = 15,507,442,822.70
  5. Step 5: Solve for x
    x = 15,507,442,822.70/142,596.13
  6. Step 6: Final answer
    x = 108,750.80

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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.