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Finding the Fourth Proportional to 216,961.52, 299,403.68 and 120,156.16

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Solution

The fourth proportional to 216,961.52, 299,403.68 and 120,156.16 is: 165,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,961.52 : 299,403.68 = 120,156.16 : x
  2. Step 2: Convert to fraction form
    216,961.52/299,403.68 = 120,156.16/x
  3. Step 3: Cross multiply
    216,961.52x = 299,403.68 × 120,156.16
  4. Step 4: Simplify right side
    216,961.52x = 35,975,196,478.67
  5. Step 5: Solve for x
    x = 35,975,196,478.67/216,961.52
  6. Step 6: Final answer
    x = 165,813.72

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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.