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Finding the Fourth Proportional to 162,274.76, 243,412.16 and 43,946.15

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Solution

The fourth proportional to 162,274.76, 243,412.16 and 43,946.15 is: 65,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,274.76 : 243,412.16 = 43,946.15 : x
  2. Step 2: Convert to fraction form
    162,274.76/243,412.16 = 43,946.15/x
  3. Step 3: Cross multiply
    162,274.76x = 243,412.16 × 43,946.15
  4. Step 4: Simplify right side
    162,274.76x = 10,697,025,858.39
  5. Step 5: Solve for x
    x = 10,697,025,858.39/162,274.76
  6. Step 6: Final answer
    x = 65,919.22

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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.