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Finding the Fourth Proportional to 176,046, 242,939.16 and 100,589.64

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Solution

The fourth proportional to 176,046, 242,939.16 and 100,589.64 is: 138,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,046 : 242,939.16 = 100,589.64 : x
  2. Step 2: Convert to fraction form
    176,046/242,939.16 = 100,589.64/x
  3. Step 3: Cross multiply
    176,046x = 242,939.16 × 100,589.64
  4. Step 4: Simplify right side
    176,046x = 24,437,162,646.30
  5. Step 5: Solve for x
    x = 24,437,162,646.30/176,046
  6. Step 6: Final answer
    x = 138,811.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.