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Finding the Fourth Proportional to 142,075.17, 213,147.83 and 42,234.93

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Solution

The fourth proportional to 142,075.17, 213,147.83 and 42,234.93 is: 63,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.17 : 213,147.83 = 42,234.93 : x
  2. Step 2: Convert to fraction form
    142,075.17/213,147.83 = 42,234.93/x
  3. Step 3: Cross multiply
    142,075.17x = 213,147.83 × 42,234.93
  4. Step 4: Simplify right side
    142,075.17x = 9,002,283,785.29
  5. Step 5: Solve for x
    x = 9,002,283,785.29/142,075.17
  6. Step 6: Final answer
    x = 63,362.82

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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.