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Finding the Fourth Proportional to 208,142.45, 312,323.10 and 147,742.51

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Solution

The fourth proportional to 208,142.45, 312,323.10 and 147,742.51 is: 221,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.45 : 312,323.10 = 147,742.51 : x
  2. Step 2: Convert to fraction form
    208,142.45/312,323.10 = 147,742.51/x
  3. Step 3: Cross multiply
    208,142.45x = 312,323.10 × 147,742.51
  4. Step 4: Simplify right side
    208,142.45x = 46,143,397,658.76
  5. Step 5: Solve for x
    x = 46,143,397,658.76/208,142.45
  6. Step 6: Final answer
    x = 221,691.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.