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Finding the Fourth Proportional to 277,315.93, 416,027.82 and 106,525.16

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Solution

The fourth proportional to 277,315.93, 416,027.82 and 106,525.16 is: 159,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,315.93 : 416,027.82 = 106,525.16 : x
  2. Step 2: Convert to fraction form
    277,315.93/416,027.82 = 106,525.16/x
  3. Step 3: Cross multiply
    277,315.93x = 416,027.82 × 106,525.16
  4. Step 4: Simplify right side
    277,315.93x = 44,317,429,220.38
  5. Step 5: Solve for x
    x = 44,317,429,220.38/277,315.93
  6. Step 6: Final answer
    x = 159,808.45

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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.