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Finding the Fourth Proportional to 106,452.63, 146,897.95 and 61,098.70

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Solution

The fourth proportional to 106,452.63, 146,897.95 and 61,098.70 is: 84,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.63 : 146,897.95 = 61,098.70 : x
  2. Step 2: Convert to fraction form
    106,452.63/146,897.95 = 61,098.70/x
  3. Step 3: Cross multiply
    106,452.63x = 146,897.95 × 61,098.70
  4. Step 4: Simplify right side
    106,452.63x = 8,975,273,777.67
  5. Step 5: Solve for x
    x = 8,975,273,777.67/106,452.63
  6. Step 6: Final answer
    x = 84,312.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.