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Finding the Fourth Proportional to 277,460.80, 382,897.24 and 156,607.20

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Solution

The fourth proportional to 277,460.80, 382,897.24 and 156,607.20 is: 216,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,460.80 : 382,897.24 = 156,607.20 : x
  2. Step 2: Convert to fraction form
    277,460.80/382,897.24 = 156,607.20/x
  3. Step 3: Cross multiply
    277,460.80x = 382,897.24 × 156,607.20
  4. Step 4: Simplify right side
    277,460.80x = 59,964,464,644.13
  5. Step 5: Solve for x
    x = 59,964,464,644.13/277,460.80
  6. Step 6: Final answer
    x = 216,118.69

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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.