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Finding the Fourth Proportional to 162,322, 243,483.08 and 51,514

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Solution

The fourth proportional to 162,322, 243,483.08 and 51,514 is: 77,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,322 : 243,483.08 = 51,514 : x
  2. Step 2: Convert to fraction form
    162,322/243,483.08 = 51,514/x
  3. Step 3: Cross multiply
    162,322x = 243,483.08 × 51,514
  4. Step 4: Simplify right side
    162,322x = 12,542,787,383.12
  5. Step 5: Solve for x
    x = 12,542,787,383.12/162,322
  6. Step 6: Final answer
    x = 77,271.03

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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.