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Finding the Fourth Proportional to 110,988, 166,482.16 and 45,324

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Solution

The fourth proportional to 110,988, 166,482.16 and 45,324 is: 67,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,988 : 166,482.16 = 45,324 : x
  2. Step 2: Convert to fraction form
    110,988/166,482.16 = 45,324/x
  3. Step 3: Cross multiply
    110,988x = 166,482.16 × 45,324
  4. Step 4: Simplify right side
    110,988x = 7,545,637,419.84
  5. Step 5: Solve for x
    x = 7,545,637,419.84/110,988
  6. Step 6: Final answer
    x = 67,986.07

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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.