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Finding the Fourth Proportional to 277,848.80, 416,158.80 and 111,551.20

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Solution

The fourth proportional to 277,848.80, 416,158.80 and 111,551.20 is: 167,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,848.80 : 416,158.80 = 111,551.20 : x
  2. Step 2: Convert to fraction form
    277,848.80/416,158.80 = 111,551.20/x
  3. Step 3: Cross multiply
    277,848.80x = 416,158.80 × 111,551.20
  4. Step 4: Simplify right side
    277,848.80x = 46,423,013,530.56
  5. Step 5: Solve for x
    x = 46,423,013,530.56/277,848.80
  6. Step 6: Final answer
    x = 167,080.13

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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.