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Finding the Fourth Proportional to 251,471.93, 346,946.29 and 142,564.59

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Solution

The fourth proportional to 251,471.93, 346,946.29 and 142,564.59 is: 196,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,471.93 : 346,946.29 = 142,564.59 : x
  2. Step 2: Convert to fraction form
    251,471.93/346,946.29 = 142,564.59/x
  3. Step 3: Cross multiply
    251,471.93x = 346,946.29 × 142,564.59
  4. Step 4: Simplify right side
    251,471.93x = 49,462,255,229.46
  5. Step 5: Solve for x
    x = 49,462,255,229.46/251,471.93
  6. Step 6: Final answer
    x = 196,690.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.