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Finding the Fourth Proportional to 154,820.34, 213,648.03 and 85,909.32

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Solution

The fourth proportional to 154,820.34, 213,648.03 and 85,909.32 is: 118,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,820.34 : 213,648.03 = 85,909.32 : x
  2. Step 2: Convert to fraction form
    154,820.34/213,648.03 = 85,909.32/x
  3. Step 3: Cross multiply
    154,820.34x = 213,648.03 × 85,909.32
  4. Step 4: Simplify right side
    154,820.34x = 18,354,356,976.64
  5. Step 5: Solve for x
    x = 18,354,356,976.64/154,820.34
  6. Step 6: Final answer
    x = 118,552.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.