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Finding the Fourth Proportional to 102,925.04, 142,042.80 and 57,602.09

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Solution

The fourth proportional to 102,925.04, 142,042.80 and 57,602.09 is: 79,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925.04 : 142,042.80 = 57,602.09 : x
  2. Step 2: Convert to fraction form
    102,925.04/142,042.80 = 57,602.09/x
  3. Step 3: Cross multiply
    102,925.04x = 142,042.80 × 57,602.09
  4. Step 4: Simplify right side
    102,925.04x = 8,181,961,439.24
  5. Step 5: Solve for x
    x = 8,181,961,439.24/102,925.04
  6. Step 6: Final answer
    x = 79,494.38

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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.