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Finding the Fourth Proportional to 146,578.60, 219,824.70 and 57,802.60

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Solution

The fourth proportional to 146,578.60, 219,824.70 and 57,802.60 is: 86,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,578.60 : 219,824.70 = 57,802.60 : x
  2. Step 2: Convert to fraction form
    146,578.60/219,824.70 = 57,802.60/x
  3. Step 3: Cross multiply
    146,578.60x = 219,824.70 × 57,802.60
  4. Step 4: Simplify right side
    146,578.60x = 12,706,439,204.22
  5. Step 5: Solve for x
    x = 12,706,439,204.22/146,578.60
  6. Step 6: Final answer
    x = 86,686.86

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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.