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Finding the Fourth Proportional to 119,206.32, 178,698.32 and 40,265.34

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Solution

The fourth proportional to 119,206.32, 178,698.32 and 40,265.34 is: 60,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,206.32 : 178,698.32 = 40,265.34 : x
  2. Step 2: Convert to fraction form
    119,206.32/178,698.32 = 40,265.34/x
  3. Step 3: Cross multiply
    119,206.32x = 178,698.32 × 40,265.34
  4. Step 4: Simplify right side
    119,206.32x = 7,195,348,612.23
  5. Step 5: Solve for x
    x = 7,195,348,612.23/119,206.32
  6. Step 6: Final answer
    x = 60,360.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.