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Finding the Fourth Proportional to 217,672.40, 326,071.20 and 146,813.60

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Solution

The fourth proportional to 217,672.40, 326,071.20 and 146,813.60 is: 219,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,672.40 : 326,071.20 = 146,813.60 : x
  2. Step 2: Convert to fraction form
    217,672.40/326,071.20 = 146,813.60/x
  3. Step 3: Cross multiply
    217,672.40x = 326,071.20 × 146,813.60
  4. Step 4: Simplify right side
    217,672.40x = 47,871,686,728.32
  5. Step 5: Solve for x
    x = 47,871,686,728.32/217,672.40
  6. Step 6: Final answer
    x = 219,925.39

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Why These Related Problems?

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