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Finding the Fourth Proportional to 102,597.78, 154,038.42 and 70,930.02

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Solution

The fourth proportional to 102,597.78, 154,038.42 and 70,930.02 is: 106,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,597.78 : 154,038.42 = 70,930.02 : x
  2. Step 2: Convert to fraction form
    102,597.78/154,038.42 = 70,930.02/x
  3. Step 3: Cross multiply
    102,597.78x = 154,038.42 × 70,930.02
  4. Step 4: Simplify right side
    102,597.78x = 10,925,948,211.37
  5. Step 5: Solve for x
    x = 10,925,948,211.37/102,597.78
  6. Step 6: Final answer
    x = 106,493.03

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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.