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Finding the Fourth Proportional to 195,658.47, 294,820.42 and 160,898.38

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Solution

The fourth proportional to 195,658.47, 294,820.42 and 160,898.38 is: 242,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,658.47 : 294,820.42 = 160,898.38 : x
  2. Step 2: Convert to fraction form
    195,658.47/294,820.42 = 160,898.38/x
  3. Step 3: Cross multiply
    195,658.47x = 294,820.42 × 160,898.38
  4. Step 4: Simplify right side
    195,658.47x = 47,436,127,968.92
  5. Step 5: Solve for x
    x = 47,436,127,968.92/195,658.47
  6. Step 6: Final answer
    x = 242,443.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.