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Finding the Fourth Proportional to 238,823.91, 358,321.98 and 120,406.07

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Solution

The fourth proportional to 238,823.91, 358,321.98 and 120,406.07 is: 180,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,823.91 : 358,321.98 = 120,406.07 : x
  2. Step 2: Convert to fraction form
    238,823.91/358,321.98 = 120,406.07/x
  3. Step 3: Cross multiply
    238,823.91x = 358,321.98 × 120,406.07
  4. Step 4: Simplify right side
    238,823.91x = 43,144,139,614.81
  5. Step 5: Solve for x
    x = 43,144,139,614.81/238,823.91
  6. Step 6: Final answer
    x = 180,652.51

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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.