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Finding the Fourth Proportional to 135,048.60, 202,281.30 and 87,809.40

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Solution

The fourth proportional to 135,048.60, 202,281.30 and 87,809.40 is: 131,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,048.60 : 202,281.30 = 87,809.40 : x
  2. Step 2: Convert to fraction form
    135,048.60/202,281.30 = 87,809.40/x
  3. Step 3: Cross multiply
    135,048.60x = 202,281.30 × 87,809.40
  4. Step 4: Simplify right side
    135,048.60x = 17,762,199,584.22
  5. Step 5: Solve for x
    x = 17,762,199,584.22/135,048.60
  6. Step 6: Final answer
    x = 131,524.50

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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.