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Finding the Fourth Proportional to 162,195.40, 243,293.10 and 51,387.40

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Solution

The fourth proportional to 162,195.40, 243,293.10 and 51,387.40 is: 77,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,195.40 : 243,293.10 = 51,387.40 : x
  2. Step 2: Convert to fraction form
    162,195.40/243,293.10 = 51,387.40/x
  3. Step 3: Cross multiply
    162,195.40x = 243,293.10 × 51,387.40
  4. Step 4: Simplify right side
    162,195.40x = 12,502,199,846.94
  5. Step 5: Solve for x
    x = 12,502,199,846.94/162,195.40
  6. Step 6: Final answer
    x = 77,081.10

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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.