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Finding the Fourth Proportional to 205,087.20, 307,630.80 and 94,495.20

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Solution

The fourth proportional to 205,087.20, 307,630.80 and 94,495.20 is: 141,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.20 : 307,630.80 = 94,495.20 : x
  2. Step 2: Convert to fraction form
    205,087.20/307,630.80 = 94,495.20/x
  3. Step 3: Cross multiply
    205,087.20x = 307,630.80 × 94,495.20
  4. Step 4: Simplify right side
    205,087.20x = 29,069,633,972.16
  5. Step 5: Solve for x
    x = 29,069,633,972.16/205,087.20
  6. Step 6: Final answer
    x = 141,742.80

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1.5x scale

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.