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Finding the Fourth Proportional to 105,952.78, 146,344.35 and 79,214.14

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Solution

The fourth proportional to 105,952.78, 146,344.35 and 79,214.14 is: 109,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,952.78 : 146,344.35 = 79,214.14 : x
  2. Step 2: Convert to fraction form
    105,952.78/146,344.35 = 79,214.14/x
  3. Step 3: Cross multiply
    105,952.78x = 146,344.35 × 79,214.14
  4. Step 4: Simplify right side
    105,952.78x = 11,592,541,829.11
  5. Step 5: Solve for x
    x = 11,592,541,829.11/105,952.78
  6. Step 6: Final answer
    x = 109,412.34

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1.5x scale

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.