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Finding the Fourth Proportional to 102,407.80, 153,611.70 and 90,743.80

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Solution

The fourth proportional to 102,407.80, 153,611.70 and 90,743.80 is: 136,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.80 : 153,611.70 = 90,743.80 : x
  2. Step 2: Convert to fraction form
    102,407.80/153,611.70 = 90,743.80/x
  3. Step 3: Cross multiply
    102,407.80x = 153,611.70 × 90,743.80
  4. Step 4: Simplify right side
    102,407.80x = 13,939,309,382.46
  5. Step 5: Solve for x
    x = 13,939,309,382.46/102,407.80
  6. Step 6: Final answer
    x = 136,115.70

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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.