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Finding the Fourth Proportional to 161,896.93, 242,878.50 and 56,789.71

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Solution

The fourth proportional to 161,896.93, 242,878.50 and 56,789.71 is: 85,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,896.93 : 242,878.50 = 56,789.71 : x
  2. Step 2: Convert to fraction form
    161,896.93/242,878.50 = 56,789.71/x
  3. Step 3: Cross multiply
    161,896.93x = 242,878.50 × 56,789.71
  4. Step 4: Simplify right side
    161,896.93x = 13,792,998,973.04
  5. Step 5: Solve for x
    x = 13,792,998,973.04/161,896.93
  6. Step 6: Final answer
    x = 85,196.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.