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Finding the Fourth Proportional to 159,002.16, 219,427.02 and 87,384

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Solution

The fourth proportional to 159,002.16, 219,427.02 and 87,384 is: 120,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,002.16 : 219,427.02 = 87,384 : x
  2. Step 2: Convert to fraction form
    159,002.16/219,427.02 = 87,384/x
  3. Step 3: Cross multiply
    159,002.16x = 219,427.02 × 87,384
  4. Step 4: Simplify right side
    159,002.16x = 19,174,410,715.68
  5. Step 5: Solve for x
    x = 19,174,410,715.68/159,002.16
  6. Step 6: Final answer
    x = 120,592.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.