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Finding the Fourth Proportional to 277,090.58, 415,575.53 and 74,681.96

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Solution

The fourth proportional to 277,090.58, 415,575.53 and 74,681.96 is: 112,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,090.58 : 415,575.53 = 74,681.96 : x
  2. Step 2: Convert to fraction form
    277,090.58/415,575.53 = 74,681.96/x
  3. Step 3: Cross multiply
    277,090.58x = 415,575.53 × 74,681.96
  4. Step 4: Simplify right side
    277,090.58x = 31,035,992,657.15
  5. Step 5: Solve for x
    x = 31,035,992,657.15/277,090.58
  6. Step 6: Final answer
    x = 112,006.67

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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.