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Finding the Fourth Proportional to 261,994.96, 361,552.98 and 142,762.96

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Solution

The fourth proportional to 261,994.96, 361,552.98 and 142,762.96 is: 197,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,994.96 : 361,552.98 = 142,762.96 : x
  2. Step 2: Convert to fraction form
    261,994.96/361,552.98 = 142,762.96/x
  3. Step 3: Cross multiply
    261,994.96x = 361,552.98 × 142,762.96
  4. Step 4: Simplify right side
    261,994.96x = 51,616,373,621.62
  5. Step 5: Solve for x
    x = 51,616,373,621.62/261,994.96
  6. Step 6: Final answer
    x = 197,012.85

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1.5x scale

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.