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Finding the Fourth Proportional to 142,356.47, 213,491.57 and 74,852.13

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Solution

The fourth proportional to 142,356.47, 213,491.57 and 74,852.13 is: 112,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,356.47 : 213,491.57 = 74,852.13 : x
  2. Step 2: Convert to fraction form
    142,356.47/213,491.57 = 74,852.13/x
  3. Step 3: Cross multiply
    142,356.47x = 213,491.57 × 74,852.13
  4. Step 4: Simplify right side
    142,356.47x = 15,980,297,376.54
  5. Step 5: Solve for x
    x = 15,980,297,376.54/142,356.47
  6. Step 6: Final answer
    x = 112,255.51

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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.