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Finding the Fourth Proportional to 277,003.76, 415,177.59 and 127,117.72

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Solution

The fourth proportional to 277,003.76, 415,177.59 and 127,117.72 is: 190,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,003.76 : 415,177.59 = 127,117.72 : x
  2. Step 2: Convert to fraction form
    277,003.76/415,177.59 = 127,117.72/x
  3. Step 3: Cross multiply
    277,003.76x = 415,177.59 × 127,117.72
  4. Step 4: Simplify right side
    277,003.76x = 52,776,426,560.01
  5. Step 5: Solve for x
    x = 52,776,426,560.01/277,003.76
  6. Step 6: Final answer
    x = 190,526.03

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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.