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Finding the Fourth Proportional to 242,644.59, 334,671.30 and 160,824.87

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Solution

The fourth proportional to 242,644.59, 334,671.30 and 160,824.87 is: 221,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,644.59 : 334,671.30 = 160,824.87 : x
  2. Step 2: Convert to fraction form
    242,644.59/334,671.30 = 160,824.87/x
  3. Step 3: Cross multiply
    242,644.59x = 334,671.30 × 160,824.87
  4. Step 4: Simplify right side
    242,644.59x = 53,823,468,315.23
  5. Step 5: Solve for x
    x = 53,823,468,315.23/242,644.59
  6. Step 6: Final answer
    x = 221,820.19

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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.