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Finding the Fourth Proportional to 402,611.06, 603,541.14 and 136,186.19

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Solution

The fourth proportional to 402,611.06, 603,541.14 and 136,186.19 is: 204,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,611.06 : 603,541.14 = 136,186.19 : x
  2. Step 2: Convert to fraction form
    402,611.06/603,541.14 = 136,186.19/x
  3. Step 3: Cross multiply
    402,611.06x = 603,541.14 × 136,186.19
  4. Step 4: Simplify right side
    402,611.06x = 82,193,968,364.86
  5. Step 5: Solve for x
    x = 82,193,968,364.86/402,611.06
  6. Step 6: Final answer
    x = 204,152.29

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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.