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Finding the Fourth Proportional to 105,276.78, 145,279.56 and 57,530.42

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Solution

The fourth proportional to 105,276.78, 145,279.56 and 57,530.42 is: 79,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,276.78 : 145,279.56 = 57,530.42 : x
  2. Step 2: Convert to fraction form
    105,276.78/145,279.56 = 57,530.42/x
  3. Step 3: Cross multiply
    105,276.78x = 145,279.56 × 57,530.42
  4. Step 4: Simplify right side
    105,276.78x = 8,357,993,377.82
  5. Step 5: Solve for x
    x = 8,357,993,377.82/105,276.78
  6. Step 6: Final answer
    x = 79,390.66

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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.