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Finding the Fourth Proportional to 292,098.60, 437,823.90 and 114,546.60

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Solution

The fourth proportional to 292,098.60, 437,823.90 and 114,546.60 is: 171,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,098.60 : 437,823.90 = 114,546.60 : x
  2. Step 2: Convert to fraction form
    292,098.60/437,823.90 = 114,546.60/x
  3. Step 3: Cross multiply
    292,098.60x = 437,823.90 × 114,546.60
  4. Step 4: Simplify right side
    292,098.60x = 50,151,239,143.74
  5. Step 5: Solve for x
    x = 50,151,239,143.74/292,098.60
  6. Step 6: Final answer
    x = 171,692.84

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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.