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Finding the Fourth Proportional to 105,017.44, 144,842.16 and 67,295.20

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Solution

The fourth proportional to 105,017.44, 144,842.16 and 67,295.20 is: 92,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,017.44 : 144,842.16 = 67,295.20 : x
  2. Step 2: Convert to fraction form
    105,017.44/144,842.16 = 67,295.20/x
  3. Step 3: Cross multiply
    105,017.44x = 144,842.16 × 67,295.20
  4. Step 4: Simplify right side
    105,017.44x = 9,747,182,125.63
  5. Step 5: Solve for x
    x = 9,747,182,125.63/105,017.44
  6. Step 6: Final answer
    x = 92,814.89

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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.