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Finding the Fourth Proportional to 277,142.80, 415,714.20 and 99,655.60

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Solution

The fourth proportional to 277,142.80, 415,714.20 and 99,655.60 is: 149,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,142.80 : 415,714.20 = 99,655.60 : x
  2. Step 2: Convert to fraction form
    277,142.80/415,714.20 = 99,655.60/x
  3. Step 3: Cross multiply
    277,142.80x = 415,714.20 × 99,655.60
  4. Step 4: Simplify right side
    277,142.80x = 41,428,248,029.52
  5. Step 5: Solve for x
    x = 41,428,248,029.52/277,142.80
  6. Step 6: Final answer
    x = 149,483.40

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