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Finding the Fourth Proportional to 159,384.12, 239,116.50 and 114,457.08

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Solution

The fourth proportional to 159,384.12, 239,116.50 and 114,457.08 is: 171,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,384.12 : 239,116.50 = 114,457.08 : x
  2. Step 2: Convert to fraction form
    159,384.12/239,116.50 = 114,457.08/x
  3. Step 3: Cross multiply
    159,384.12x = 239,116.50 × 114,457.08
  4. Step 4: Simplify right side
    159,384.12x = 27,368,576,369.82
  5. Step 5: Solve for x
    x = 27,368,576,369.82/159,384.12
  6. Step 6: Final answer
    x = 171,714.57

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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.