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Finding the Fourth Proportional to 162,529.79, 224,291.10 and 105,941.16

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Solution

The fourth proportional to 162,529.79, 224,291.10 and 105,941.16 is: 146,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,529.79 : 224,291.10 = 105,941.16 : x
  2. Step 2: Convert to fraction form
    162,529.79/224,291.10 = 105,941.16/x
  3. Step 3: Cross multiply
    162,529.79x = 224,291.10 × 105,941.16
  4. Step 4: Simplify right side
    162,529.79x = 23,761,659,311.68
  5. Step 5: Solve for x
    x = 23,761,659,311.68/162,529.79
  6. Step 6: Final answer
    x = 146,198.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.