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Finding the Fourth Proportional to 464,115.42, 696,173.67 and 127,158.93

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Solution

The fourth proportional to 464,115.42, 696,173.67 and 127,158.93 is: 190,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,115.42 : 696,173.67 = 127,158.93 : x
  2. Step 2: Convert to fraction form
    464,115.42/696,173.67 = 127,158.93/x
  3. Step 3: Cross multiply
    464,115.42x = 696,173.67 × 127,158.93
  4. Step 4: Simplify right side
    464,115.42x = 88,524,698,971.37
  5. Step 5: Solve for x
    x = 88,524,698,971.37/464,115.42
  6. Step 6: Final answer
    x = 190,738.54

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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.