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Finding the Fourth Proportional to 310,607.78, 465,834.72 and 133,094.66

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Solution

The fourth proportional to 310,607.78, 465,834.72 and 133,094.66 is: 199,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,607.78 : 465,834.72 = 133,094.66 : x
  2. Step 2: Convert to fraction form
    310,607.78/465,834.72 = 133,094.66/x
  3. Step 3: Cross multiply
    310,607.78x = 465,834.72 × 133,094.66
  4. Step 4: Simplify right side
    310,607.78x = 62,000,113,674.60
  5. Step 5: Solve for x
    x = 62,000,113,674.60/310,607.78
  6. Step 6: Final answer
    x = 199,609.02

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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.