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Finding the Fourth Proportional to 281,091.93, 387,903.70 and 153,766

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Solution

The fourth proportional to 281,091.93, 387,903.70 and 153,766 is: 212,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,091.93 : 387,903.70 = 153,766 : x
  2. Step 2: Convert to fraction form
    281,091.93/387,903.70 = 153,766/x
  3. Step 3: Cross multiply
    281,091.93x = 387,903.70 × 153,766
  4. Step 4: Simplify right side
    281,091.93x = 59,646,400,334.20
  5. Step 5: Solve for x
    x = 59,646,400,334.20/281,091.93
  6. Step 6: Final answer
    x = 212,195.35

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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.