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Finding the Fourth Proportional to 217,386.40, 325,642.20 and 146,527.60

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Solution

The fourth proportional to 217,386.40, 325,642.20 and 146,527.60 is: 219,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,386.40 : 325,642.20 = 146,527.60 : x
  2. Step 2: Convert to fraction form
    217,386.40/325,642.20 = 146,527.60/x
  3. Step 3: Cross multiply
    217,386.40x = 325,642.20 × 146,527.60
  4. Step 4: Simplify right side
    217,386.40x = 47,715,570,024.72
  5. Step 5: Solve for x
    x = 47,715,570,024.72/217,386.40
  6. Step 6: Final answer
    x = 219,496.57

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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.