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Finding the Fourth Proportional to 310,175.84, 465,262.06 and 120,767.98

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Solution

The fourth proportional to 310,175.84, 465,262.06 and 120,767.98 is: 181,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,175.84 : 465,262.06 = 120,767.98 : x
  2. Step 2: Convert to fraction form
    310,175.84/465,262.06 = 120,767.98/x
  3. Step 3: Cross multiply
    310,175.84x = 465,262.06 × 120,767.98
  4. Step 4: Simplify right side
    310,175.84x = 56,188,759,156.84
  5. Step 5: Solve for x
    x = 56,188,759,156.84/310,175.84
  6. Step 6: Final answer
    x = 181,151.31

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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.