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Finding the Fourth Proportional to 102,666.45, 141,678.21 and 57,345.08

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Solution

The fourth proportional to 102,666.45, 141,678.21 and 57,345.08 is: 79,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.45 : 141,678.21 = 57,345.08 : x
  2. Step 2: Convert to fraction form
    102,666.45/141,678.21 = 57,345.08/x
  3. Step 3: Cross multiply
    102,666.45x = 141,678.21 × 57,345.08
  4. Step 4: Simplify right side
    102,666.45x = 8,124,548,855.95
  5. Step 5: Solve for x
    x = 8,124,548,855.95/102,666.45
  6. Step 6: Final answer
    x = 79,135.38

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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.