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Finding the Fourth Proportional to 352,000.42, 527,825.78 and 112,083.00

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Solution

The fourth proportional to 352,000.42, 527,825.78 and 112,083.00 is: 168,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,000.42 : 527,825.78 = 112,083.00 : x
  2. Step 2: Convert to fraction form
    352,000.42/527,825.78 = 112,083.00/x
  3. Step 3: Cross multiply
    352,000.42x = 527,825.78 × 112,083.00
  4. Step 4: Simplify right side
    352,000.42x = 59,160,298,649.18
  5. Step 5: Solve for x
    x = 59,160,298,649.18/352,000.42
  6. Step 6: Final answer
    x = 168,068.83

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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.