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Finding the Fourth Proportional to 277,202.40, 415,854.90 and 87,710.48

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Solution

The fourth proportional to 277,202.40, 415,854.90 and 87,710.48 is: 131,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,202.40 : 415,854.90 = 87,710.48 : x
  2. Step 2: Convert to fraction form
    277,202.40/415,854.90 = 87,710.48/x
  3. Step 3: Cross multiply
    277,202.40x = 415,854.90 × 87,710.48
  4. Step 4: Simplify right side
    277,202.40x = 36,474,830,810.08
  5. Step 5: Solve for x
    x = 36,474,830,810.08/277,202.40
  6. Step 6: Final answer
    x = 131,581.94

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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.