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Finding the Fourth Proportional to 265,006.44, 397,597.14 and 107,148.78

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Solution

The fourth proportional to 265,006.44, 397,597.14 and 107,148.78 is: 160,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,006.44 : 397,597.14 = 107,148.78 : x
  2. Step 2: Convert to fraction form
    265,006.44/397,597.14 = 107,148.78/x
  3. Step 3: Cross multiply
    265,006.44x = 397,597.14 × 107,148.78
  4. Step 4: Simplify right side
    265,006.44x = 42,602,048,482.49
  5. Step 5: Solve for x
    x = 42,602,048,482.49/265,006.44
  6. Step 6: Final answer
    x = 160,758.54

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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.