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Finding the Fourth Proportional to 142,509.30, 213,630.30 and 53,822.40

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Solution

The fourth proportional to 142,509.30, 213,630.30 and 53,822.40 is: 80,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,509.30 : 213,630.30 = 53,822.40 : x
  2. Step 2: Convert to fraction form
    142,509.30/213,630.30 = 53,822.40/x
  3. Step 3: Cross multiply
    142,509.30x = 213,630.30 × 53,822.40
  4. Step 4: Simplify right side
    142,509.30x = 11,498,095,458.72
  5. Step 5: Solve for x
    x = 11,498,095,458.72/142,509.30
  6. Step 6: Final answer
    x = 80,683.12

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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.