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Finding the Fourth Proportional to 217,176.14, 299,702.88 and 121,683.52

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Solution

The fourth proportional to 217,176.14, 299,702.88 and 121,683.52 is: 167,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,176.14 : 299,702.88 = 121,683.52 : x
  2. Step 2: Convert to fraction form
    217,176.14/299,702.88 = 121,683.52/x
  3. Step 3: Cross multiply
    217,176.14x = 299,702.88 × 121,683.52
  4. Step 4: Simplify right side
    217,176.14x = 36,468,900,784.12
  5. Step 5: Solve for x
    x = 36,468,900,784.12/217,176.14
  6. Step 6: Final answer
    x = 167,923.14

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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.