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Finding the Fourth Proportional to 142,420.70, 213,643.25 and 37,239.50

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Solution

The fourth proportional to 142,420.70, 213,643.25 and 37,239.50 is: 55,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,420.70 : 213,643.25 = 37,239.50 : x
  2. Step 2: Convert to fraction form
    142,420.70/213,643.25 = 37,239.50/x
  3. Step 3: Cross multiply
    142,420.70x = 213,643.25 × 37,239.50
  4. Step 4: Simplify right side
    142,420.70x = 7,955,967,808.38
  5. Step 5: Solve for x
    x = 7,955,967,808.38/142,420.70
  6. Step 6: Final answer
    x = 55,862.44

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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.