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Finding the Fourth Proportional to 217,134.80, 325,653.60 and 142,776.80

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Solution

The fourth proportional to 217,134.80, 325,653.60 and 142,776.80 is: 214,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,134.80 : 325,653.60 = 142,776.80 : x
  2. Step 2: Convert to fraction form
    217,134.80/325,653.60 = 142,776.80/x
  3. Step 3: Cross multiply
    217,134.80x = 325,653.60 × 142,776.80
  4. Step 4: Simplify right side
    217,134.80x = 46,495,778,916.48
  5. Step 5: Solve for x
    x = 46,495,778,916.48/217,134.80
  6. Step 6: Final answer
    x = 214,133.24

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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.