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Finding the Fourth Proportional to 175,380.36, 242,030.34 and 99,924

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Solution

The fourth proportional to 175,380.36, 242,030.34 and 99,924 is: 137,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,380.36 : 242,030.34 = 99,924 : x
  2. Step 2: Convert to fraction form
    175,380.36/242,030.34 = 99,924/x
  3. Step 3: Cross multiply
    175,380.36x = 242,030.34 × 99,924
  4. Step 4: Simplify right side
    175,380.36x = 24,184,639,694.16
  5. Step 5: Solve for x
    x = 24,184,639,694.16/175,380.36
  6. Step 6: Final answer
    x = 137,898.22

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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.