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Finding the Fourth Proportional to 133,411.60, 200,347.80 and 71,203.60

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Solution

The fourth proportional to 133,411.60, 200,347.80 and 71,203.60 is: 106,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,411.60 : 200,347.80 = 71,203.60 : x
  2. Step 2: Convert to fraction form
    133,411.60/200,347.80 = 71,203.60/x
  3. Step 3: Cross multiply
    133,411.60x = 200,347.80 × 71,203.60
  4. Step 4: Simplify right side
    133,411.60x = 14,265,484,612.08
  5. Step 5: Solve for x
    x = 14,265,484,612.08/133,411.60
  6. Step 6: Final answer
    x = 106,928.37

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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.