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Finding the Fourth Proportional to 154,055.44, 230,984.21 and 64,160.47

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Solution

The fourth proportional to 154,055.44, 230,984.21 and 64,160.47 is: 96,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,055.44 : 230,984.21 = 64,160.47 : x
  2. Step 2: Convert to fraction form
    154,055.44/230,984.21 = 64,160.47/x
  3. Step 3: Cross multiply
    154,055.44x = 230,984.21 × 64,160.47
  4. Step 4: Simplify right side
    154,055.44x = 14,820,055,564.41
  5. Step 5: Solve for x
    x = 14,820,055,564.41/154,055.44
  6. Step 6: Final answer
    x = 96,199.50

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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.