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Finding the Fourth Proportional to 165,700.48, 228,682.56 and 102,075.52

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Solution

The fourth proportional to 165,700.48, 228,682.56 and 102,075.52 is: 140,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,700.48 : 228,682.56 = 102,075.52 : x
  2. Step 2: Convert to fraction form
    165,700.48/228,682.56 = 102,075.52/x
  3. Step 3: Cross multiply
    165,700.48x = 228,682.56 × 102,075.52
  4. Step 4: Simplify right side
    165,700.48x = 23,342,891,226.93
  5. Step 5: Solve for x
    x = 23,342,891,226.93/165,700.48
  6. Step 6: Final answer
    x = 140,874.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.