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Finding the Fourth Proportional to 146,008.58, 219,105 and 57,259.71

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Solution

The fourth proportional to 146,008.58, 219,105 and 57,259.71 is: 85,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,008.58 : 219,105 = 57,259.71 : x
  2. Step 2: Convert to fraction form
    146,008.58/219,105 = 57,259.71/x
  3. Step 3: Cross multiply
    146,008.58x = 219,105 × 57,259.71
  4. Step 4: Simplify right side
    146,008.58x = 12,545,888,759.55
  5. Step 5: Solve for x
    x = 12,545,888,759.55/146,008.58
  6. Step 6: Final answer
    x = 85,925.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.