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Finding the Fourth Proportional to 174,046.42, 260,941.94 and 55,649.62

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Solution

The fourth proportional to 174,046.42, 260,941.94 and 55,649.62 is: 83,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,046.42 : 260,941.94 = 55,649.62 : x
  2. Step 2: Convert to fraction form
    174,046.42/260,941.94 = 55,649.62/x
  3. Step 3: Cross multiply
    174,046.42x = 260,941.94 × 55,649.62
  4. Step 4: Simplify right side
    174,046.42x = 14,521,319,803.06
  5. Step 5: Solve for x
    x = 14,521,319,803.06/174,046.42
  6. Step 6: Final answer
    x = 83,433.60

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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.