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Finding the Fourth Proportional to 142,902.40, 214,384.32 and 48,142

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Solution

The fourth proportional to 142,902.40, 214,384.32 and 48,142 is: 72,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902.40 : 214,384.32 = 48,142 : x
  2. Step 2: Convert to fraction form
    142,902.40/214,384.32 = 48,142/x
  3. Step 3: Cross multiply
    142,902.40x = 214,384.32 × 48,142
  4. Step 4: Simplify right side
    142,902.40x = 10,320,889,933.44
  5. Step 5: Solve for x
    x = 10,320,889,933.44/142,902.40
  6. Step 6: Final answer
    x = 72,223.35

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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.