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Finding the Fourth Proportional to 162,502.48, 243,556.86 and 142,819.48

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Solution

The fourth proportional to 162,502.48, 243,556.86 and 142,819.48 is: 214,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,502.48 : 243,556.86 = 142,819.48 : x
  2. Step 2: Convert to fraction form
    162,502.48/243,556.86 = 142,819.48/x
  3. Step 3: Cross multiply
    162,502.48x = 243,556.86 × 142,819.48
  4. Step 4: Simplify right side
    162,502.48x = 34,784,664,095.63
  5. Step 5: Solve for x
    x = 34,784,664,095.63/162,502.48
  6. Step 6: Final answer
    x = 214,056.20

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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.