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Finding the Fourth Proportional to 107,783.84, 160,832.81 and 96,576.36

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Solution

The fourth proportional to 107,783.84, 160,832.81 and 96,576.36 is: 144,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,783.84 : 160,832.81 = 96,576.36 : x
  2. Step 2: Convert to fraction form
    107,783.84/160,832.81 = 96,576.36/x
  3. Step 3: Cross multiply
    107,783.84x = 160,832.81 × 96,576.36
  4. Step 4: Simplify right side
    107,783.84x = 15,532,646,875.49
  5. Step 5: Solve for x
    x = 15,532,646,875.49/107,783.84
  6. Step 6: Final answer
    x = 144,109.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.