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Finding the Fourth Proportional to 310,110.66, 465,167.71 and 110,438.82

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Solution

The fourth proportional to 310,110.66, 465,167.71 and 110,438.82 is: 165,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,110.66 : 465,167.71 = 110,438.82 : x
  2. Step 2: Convert to fraction form
    310,110.66/465,167.71 = 110,438.82/x
  3. Step 3: Cross multiply
    310,110.66x = 465,167.71 × 110,438.82
  4. Step 4: Simplify right side
    310,110.66x = 51,372,572,994.50
  5. Step 5: Solve for x
    x = 51,372,572,994.50/310,110.66
  6. Step 6: Final answer
    x = 165,658.84

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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.