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Finding the Fourth Proportional to 400,952.25, 601,518.05 and 134,705.45

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Solution

The fourth proportional to 400,952.25, 601,518.05 and 134,705.45 is: 202,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,952.25 : 601,518.05 = 134,705.45 : x
  2. Step 2: Convert to fraction form
    400,952.25/601,518.05 = 134,705.45/x
  3. Step 3: Cross multiply
    400,952.25x = 601,518.05 × 134,705.45
  4. Step 4: Simplify right side
    400,952.25x = 81,027,755,927.26
  5. Step 5: Solve for x
    x = 81,027,755,927.26/400,952.25
  6. Step 6: Final answer
    x = 202,088.29

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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.