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Finding the Fourth Proportional to 142,122.47, 213,071.24 and 53,366.09

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Solution

The fourth proportional to 142,122.47, 213,071.24 and 53,366.09 is: 80,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122.47 : 213,071.24 = 53,366.09 : x
  2. Step 2: Convert to fraction form
    142,122.47/213,071.24 = 53,366.09/x
  3. Step 3: Cross multiply
    142,122.47x = 213,071.24 × 53,366.09
  4. Step 4: Simplify right side
    142,122.47x = 11,370,778,038.31
  5. Step 5: Solve for x
    x = 11,370,778,038.31/142,122.47
  6. Step 6: Final answer
    x = 80,006.90

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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.