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Finding the Fourth Proportional to 175,374, 242,016.21 and 99,922.50

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Solution

The fourth proportional to 175,374, 242,016.21 and 99,922.50 is: 137,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,374 : 242,016.21 = 99,922.50 : x
  2. Step 2: Convert to fraction form
    175,374/242,016.21 = 99,922.50/x
  3. Step 3: Cross multiply
    175,374x = 242,016.21 × 99,922.50
  4. Step 4: Simplify right side
    175,374x = 24,182,864,743.73
  5. Step 5: Solve for x
    x = 24,182,864,743.73/175,374
  6. Step 6: Final answer
    x = 137,893.10

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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.