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Finding the Fourth Proportional to 105,065.44, 144,972.17 and 59,118.68

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Solution

The fourth proportional to 105,065.44, 144,972.17 and 59,118.68 is: 81,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,065.44 : 144,972.17 = 59,118.68 : x
  2. Step 2: Convert to fraction form
    105,065.44/144,972.17 = 59,118.68/x
  3. Step 3: Cross multiply
    105,065.44x = 144,972.17 × 59,118.68
  4. Step 4: Simplify right side
    105,065.44x = 8,570,563,327.14
  5. Step 5: Solve for x
    x = 8,570,563,327.14/105,065.44
  6. Step 6: Final answer
    x = 81,573.57

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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.