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Finding the Fourth Proportional to 146,012.59, 219,020.64 and 57,307.87

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Solution

The fourth proportional to 146,012.59, 219,020.64 and 57,307.87 is: 85,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,012.59 : 219,020.64 = 57,307.87 : x
  2. Step 2: Convert to fraction form
    146,012.59/219,020.64 = 57,307.87/x
  3. Step 3: Cross multiply
    146,012.59x = 219,020.64 × 57,307.87
  4. Step 4: Simplify right side
    146,012.59x = 12,551,606,364.44
  5. Step 5: Solve for x
    x = 12,551,606,364.44/146,012.59
  6. Step 6: Final answer
    x = 85,962.49

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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.