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Finding the Fourth Proportional to 154,509.64, 231,776.44 and 46,430.57

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Solution

The fourth proportional to 154,509.64, 231,776.44 and 46,430.57 is: 69,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,509.64 : 231,776.44 = 46,430.57 : x
  2. Step 2: Convert to fraction form
    154,509.64/231,776.44 = 46,430.57/x
  3. Step 3: Cross multiply
    154,509.64x = 231,776.44 × 46,430.57
  4. Step 4: Simplify right side
    154,509.64x = 10,761,511,033.87
  5. Step 5: Solve for x
    x = 10,761,511,033.87/154,509.64
  6. Step 6: Final answer
    x = 69,649.45

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