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Finding the Fourth Proportional to 277,191.96, 415,724.37 and 77,526.46

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Solution

The fourth proportional to 277,191.96, 415,724.37 and 77,526.46 is: 116,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,191.96 : 415,724.37 = 77,526.46 : x
  2. Step 2: Convert to fraction form
    277,191.96/415,724.37 = 77,526.46/x
  3. Step 3: Cross multiply
    277,191.96x = 415,724.37 × 77,526.46
  4. Step 4: Simplify right side
    277,191.96x = 32,229,638,741.83
  5. Step 5: Solve for x
    x = 32,229,638,741.83/277,191.96
  6. Step 6: Final answer
    x = 116,271.91

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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.