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Finding the Fourth Proportional to 242,214.96, 362,797.32 and 117,294

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Solution

The fourth proportional to 242,214.96, 362,797.32 and 117,294 is: 175,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,214.96 : 362,797.32 = 117,294 : x
  2. Step 2: Convert to fraction form
    242,214.96/362,797.32 = 117,294/x
  3. Step 3: Cross multiply
    242,214.96x = 362,797.32 × 117,294
  4. Step 4: Simplify right side
    242,214.96x = 42,553,948,852.08
  5. Step 5: Solve for x
    x = 42,553,948,852.08/242,214.96
  6. Step 6: Final answer
    x = 175,686.71

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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.