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Finding the Fourth Proportional to 101,594.94, 152,421.57 and 66,491.16

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Solution

The fourth proportional to 101,594.94, 152,421.57 and 66,491.16 is: 99,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.94 : 152,421.57 = 66,491.16 : x
  2. Step 2: Convert to fraction form
    101,594.94/152,421.57 = 66,491.16/x
  3. Step 3: Cross multiply
    101,594.94x = 152,421.57 × 66,491.16
  4. Step 4: Simplify right side
    101,594.94x = 10,134,686,998.32
  5. Step 5: Solve for x
    x = 10,134,686,998.32/101,594.94
  6. Step 6: Final answer
    x = 99,755.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.