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Finding the Fourth Proportional to 229,719.90, 316,738.81 and 149,118.01

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Solution

The fourth proportional to 229,719.90, 316,738.81 and 149,118.01 is: 205,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,719.90 : 316,738.81 = 149,118.01 : x
  2. Step 2: Convert to fraction form
    229,719.90/316,738.81 = 149,118.01/x
  3. Step 3: Cross multiply
    229,719.90x = 316,738.81 × 149,118.01
  4. Step 4: Simplify right side
    229,719.90x = 47,231,461,374.39
  5. Step 5: Solve for x
    x = 47,231,461,374.39/229,719.90
  6. Step 6: Final answer
    x = 205,604.57

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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.