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Finding the Fourth Proportional to 175,332, 241,958.16 and 99,880.50

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Solution

The fourth proportional to 175,332, 241,958.16 and 99,880.50 is: 137,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,332 : 241,958.16 = 99,880.50 : x
  2. Step 2: Convert to fraction form
    175,332/241,958.16 = 99,880.50/x
  3. Step 3: Cross multiply
    175,332x = 241,958.16 × 99,880.50
  4. Step 4: Simplify right side
    175,332x = 24,166,901,999.88
  5. Step 5: Solve for x
    x = 24,166,901,999.88/175,332
  6. Step 6: Final answer
    x = 137,835.09

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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.