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Finding the Fourth Proportional to 333,742.60, 500,263.97 and 156,099.88

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Solution

The fourth proportional to 333,742.60, 500,263.97 and 156,099.88 is: 233,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,742.60 : 500,263.97 = 156,099.88 : x
  2. Step 2: Convert to fraction form
    333,742.60/500,263.97 = 156,099.88/x
  3. Step 3: Cross multiply
    333,742.60x = 500,263.97 × 156,099.88
  4. Step 4: Simplify right side
    333,742.60x = 78,091,143,184.00
  5. Step 5: Solve for x
    x = 78,091,143,184.00/333,742.60
  6. Step 6: Final answer
    x = 233,986.14

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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.