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Finding the Fourth Proportional to 162,398.14, 243,646.41 and 73,627.81

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Solution

The fourth proportional to 162,398.14, 243,646.41 and 73,627.81 is: 110,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,398.14 : 243,646.41 = 73,627.81 : x
  2. Step 2: Convert to fraction form
    162,398.14/243,646.41 = 73,627.81/x
  3. Step 3: Cross multiply
    162,398.14x = 243,646.41 × 73,627.81
  4. Step 4: Simplify right side
    162,398.14x = 17,939,151,582.66
  5. Step 5: Solve for x
    x = 17,939,151,582.66/162,398.14
  6. Step 6: Final answer
    x = 110,464.02

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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.