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Finding the Fourth Proportional to 106,209.60, 146,569.20 and 61,497.60

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Solution

The fourth proportional to 106,209.60, 146,569.20 and 61,497.60 is: 84,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,209.60 : 146,569.20 = 61,497.60 : x
  2. Step 2: Convert to fraction form
    106,209.60/146,569.20 = 61,497.60/x
  3. Step 3: Cross multiply
    106,209.60x = 146,569.20 × 61,497.60
  4. Step 4: Simplify right side
    106,209.60x = 9,013,654,033.92
  5. Step 5: Solve for x
    x = 9,013,654,033.92/106,209.60
  6. Step 6: Final answer
    x = 84,866.66

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1.5x scale

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.