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Finding the Fourth Proportional to 142,842.26, 214,266.42 and 48,075.32

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Solution

The fourth proportional to 142,842.26, 214,266.42 and 48,075.32 is: 72,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,842.26 : 214,266.42 = 48,075.32 : x
  2. Step 2: Convert to fraction form
    142,842.26/214,266.42 = 48,075.32/x
  3. Step 3: Cross multiply
    142,842.26x = 214,266.42 × 48,075.32
  4. Step 4: Simplify right side
    142,842.26x = 10,300,925,635.42
  5. Step 5: Solve for x
    x = 10,300,925,635.42/142,842.26
  6. Step 6: Final answer
    x = 72,113.99

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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.