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Finding the Fourth Proportional to 154,516.34, 213,254.16 and 111,634.62

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Solution

The fourth proportional to 154,516.34, 213,254.16 and 111,634.62 is: 154,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,516.34 : 213,254.16 = 111,634.62 : x
  2. Step 2: Convert to fraction form
    154,516.34/213,254.16 = 111,634.62/x
  3. Step 3: Cross multiply
    154,516.34x = 213,254.16 × 111,634.62
  4. Step 4: Simplify right side
    154,516.34x = 23,806,547,115.02
  5. Step 5: Solve for x
    x = 23,806,547,115.02/154,516.34
  6. Step 6: Final answer
    x = 154,071.39

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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.