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Finding the Fourth Proportional to 264,897.90, 397,511.28 and 107,127.72

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Solution

The fourth proportional to 264,897.90, 397,511.28 and 107,127.72 is: 160,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,897.90 : 397,511.28 = 107,127.72 : x
  2. Step 2: Convert to fraction form
    264,897.90/397,511.28 = 107,127.72/x
  3. Step 3: Cross multiply
    264,897.90x = 397,511.28 × 107,127.72
  4. Step 4: Simplify right side
    264,897.90x = 42,584,477,100.68
  5. Step 5: Solve for x
    x = 42,584,477,100.68/264,897.90
  6. Step 6: Final answer
    x = 160,758.08

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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.