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Finding the Fourth Proportional to 98,118.41, 147,173.01 and 57,614.50

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Solution

The fourth proportional to 98,118.41, 147,173.01 and 57,614.50 is: 86,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,118.41 : 147,173.01 = 57,614.50 : x
  2. Step 2: Convert to fraction form
    98,118.41/147,173.01 = 57,614.50/x
  3. Step 3: Cross multiply
    98,118.41x = 147,173.01 × 57,614.50
  4. Step 4: Simplify right side
    98,118.41x = 8,479,299,384.65
  5. Step 5: Solve for x
    x = 8,479,299,384.65/98,118.41
  6. Step 6: Final answer
    x = 86,419.05

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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.