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Finding the Fourth Proportional to 154,042.10, 230,674.35 and 101,165.30

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Solution

The fourth proportional to 154,042.10, 230,674.35 and 101,165.30 is: 151,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,042.10 : 230,674.35 = 101,165.30 : x
  2. Step 2: Convert to fraction form
    154,042.10/230,674.35 = 101,165.30/x
  3. Step 3: Cross multiply
    154,042.10x = 230,674.35 × 101,165.30
  4. Step 4: Simplify right side
    154,042.10x = 23,336,239,820.06
  5. Step 5: Solve for x
    x = 23,336,239,820.06/154,042.10
  6. Step 6: Final answer
    x = 151,492.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.