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Finding the Fourth Proportional to 205,154.40, 307,755.60 and 64,927.20

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Solution

The fourth proportional to 205,154.40, 307,755.60 and 64,927.20 is: 97,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,154.40 : 307,755.60 = 64,927.20 : x
  2. Step 2: Convert to fraction form
    205,154.40/307,755.60 = 64,927.20/x
  3. Step 3: Cross multiply
    205,154.40x = 307,755.60 × 64,927.20
  4. Step 4: Simplify right side
    205,154.40x = 19,981,709,392.32
  5. Step 5: Solve for x
    x = 19,981,709,392.32/205,154.40
  6. Step 6: Final answer
    x = 97,398.40

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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.