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Finding the Fourth Proportional to 251,957.36, 347,746.48 and 144,562.96

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Solution

The fourth proportional to 251,957.36, 347,746.48 and 144,562.96 is: 199,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,957.36 : 347,746.48 = 144,562.96 : x
  2. Step 2: Convert to fraction form
    251,957.36/347,746.48 = 144,562.96/x
  3. Step 3: Cross multiply
    251,957.36x = 347,746.48 × 144,562.96
  4. Step 4: Simplify right side
    251,957.36x = 50,271,260,478.38
  5. Step 5: Solve for x
    x = 50,271,260,478.38/251,957.36
  6. Step 6: Final answer
    x = 199,522.89

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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.