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Finding the Fourth Proportional to 154,291.40, 213,006.10 and 100,609.16

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Solution

The fourth proportional to 154,291.40, 213,006.10 and 100,609.16 is: 138,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,291.40 : 213,006.10 = 100,609.16 : x
  2. Step 2: Convert to fraction form
    154,291.40/213,006.10 = 100,609.16/x
  3. Step 3: Cross multiply
    154,291.40x = 213,006.10 × 100,609.16
  4. Step 4: Simplify right side
    154,291.40x = 21,430,364,795.88
  5. Step 5: Solve for x
    x = 21,430,364,795.88/154,291.40
  6. Step 6: Final answer
    x = 138,895.39

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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.