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Finding the Fourth Proportional to 162,431.10, 243,646.65 and 123,065.10

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Solution

The fourth proportional to 162,431.10, 243,646.65 and 123,065.10 is: 184,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,431.10 : 243,646.65 = 123,065.10 : x
  2. Step 2: Convert to fraction form
    162,431.10/243,646.65 = 123,065.10/x
  3. Step 3: Cross multiply
    162,431.10x = 243,646.65 × 123,065.10
  4. Step 4: Simplify right side
    162,431.10x = 29,984,399,346.92
  5. Step 5: Solve for x
    x = 29,984,399,346.92/162,431.10
  6. Step 6: Final answer
    x = 184,597.65

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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.