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Finding the Fourth Proportional to 145,858.52, 218,700.20 and 57,006.12

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Solution

The fourth proportional to 145,858.52, 218,700.20 and 57,006.12 is: 85,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858.52 : 218,700.20 = 57,006.12 : x
  2. Step 2: Convert to fraction form
    145,858.52/218,700.20 = 57,006.12/x
  3. Step 3: Cross multiply
    145,858.52x = 218,700.20 × 57,006.12
  4. Step 4: Simplify right side
    145,858.52x = 12,467,249,845.22
  5. Step 5: Solve for x
    x = 12,467,249,845.22/145,858.52
  6. Step 6: Final answer
    x = 85,474.95

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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.