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Finding the Fourth Proportional to 173,146.46, 259,693.71 and 54,802.46

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Solution

The fourth proportional to 173,146.46, 259,693.71 and 54,802.46 is: 82,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,146.46 : 259,693.71 = 54,802.46 : x
  2. Step 2: Convert to fraction form
    173,146.46/259,693.71 = 54,802.46/x
  3. Step 3: Cross multiply
    173,146.46x = 259,693.71 × 54,802.46
  4. Step 4: Simplify right side
    173,146.46x = 14,231,854,154.53
  5. Step 5: Solve for x
    x = 14,231,854,154.53/173,146.46
  6. Step 6: Final answer
    x = 82,195.47

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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.