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Finding the Fourth Proportional to 123,792.83, 170,913.49 and 85,095.01

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Solution

The fourth proportional to 123,792.83, 170,913.49 and 85,095.01 is: 117,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,792.83 : 170,913.49 = 85,095.01 : x
  2. Step 2: Convert to fraction form
    123,792.83/170,913.49 = 85,095.01/x
  3. Step 3: Cross multiply
    123,792.83x = 170,913.49 × 85,095.01
  4. Step 4: Simplify right side
    123,792.83x = 14,543,885,140.68
  5. Step 5: Solve for x
    x = 14,543,885,140.68/123,792.83
  6. Step 6: Final answer
    x = 117,485.68

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Why These Related Problems?

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