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Finding the Fourth Proportional to 162,411.60, 243,617.40 and 123,045.60

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Solution

The fourth proportional to 162,411.60, 243,617.40 and 123,045.60 is: 184,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,411.60 : 243,617.40 = 123,045.60 : x
  2. Step 2: Convert to fraction form
    162,411.60/243,617.40 = 123,045.60/x
  3. Step 3: Cross multiply
    162,411.60x = 243,617.40 × 123,045.60
  4. Step 4: Simplify right side
    162,411.60x = 29,976,049,153.44
  5. Step 5: Solve for x
    x = 29,976,049,153.44/162,411.60
  6. Step 6: Final answer
    x = 184,568.40

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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.