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Finding the Fourth Proportional to 162,651.24, 243,880.48 and 50,298.20

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Solution

The fourth proportional to 162,651.24, 243,880.48 and 50,298.20 is: 75,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,651.24 : 243,880.48 = 50,298.20 : x
  2. Step 2: Convert to fraction form
    162,651.24/243,880.48 = 50,298.20/x
  3. Step 3: Cross multiply
    162,651.24x = 243,880.48 × 50,298.20
  4. Step 4: Simplify right side
    162,651.24x = 12,266,749,159.14
  5. Step 5: Solve for x
    x = 12,266,749,159.14/162,651.24
  6. Step 6: Final answer
    x = 75,417.50

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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.