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Finding the Fourth Proportional to 110,996, 166,494.16 and 45,332

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Solution

The fourth proportional to 110,996, 166,494.16 and 45,332 is: 67,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996 : 166,494.16 = 45,332 : x
  2. Step 2: Convert to fraction form
    110,996/166,494.16 = 45,332/x
  3. Step 3: Cross multiply
    110,996x = 166,494.16 × 45,332
  4. Step 4: Simplify right side
    110,996x = 7,547,513,261.12
  5. Step 5: Solve for x
    x = 7,547,513,261.12/110,996
  6. Step 6: Final answer
    x = 67,998.07

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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.