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Finding the Fourth Proportional to 106,870.60, 160,536.30 and 102,953.80

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Solution

The fourth proportional to 106,870.60, 160,536.30 and 102,953.80 is: 154,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,870.60 : 160,536.30 = 102,953.80 : x
  2. Step 2: Convert to fraction form
    106,870.60/160,536.30 = 102,953.80/x
  3. Step 3: Cross multiply
    106,870.60x = 160,536.30 × 102,953.80
  4. Step 4: Simplify right side
    106,870.60x = 16,527,822,122.94
  5. Step 5: Solve for x
    x = 16,527,822,122.94/106,870.60
  6. Step 6: Final answer
    x = 154,652.66

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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.