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Finding the Fourth Proportional to 105,279.88, 145,282.10 and 57,533.80

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Solution

The fourth proportional to 105,279.88, 145,282.10 and 57,533.80 is: 79,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,279.88 : 145,282.10 = 57,533.80 : x
  2. Step 2: Convert to fraction form
    105,279.88/145,282.10 = 57,533.80/x
  3. Step 3: Cross multiply
    105,279.88x = 145,282.10 × 57,533.80
  4. Step 4: Simplify right side
    105,279.88x = 8,358,631,284.98
  5. Step 5: Solve for x
    x = 8,358,631,284.98/105,279.88
  6. Step 6: Final answer
    x = 79,394.38

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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.