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Finding the Fourth Proportional to 97,141.44, 145,732.80 and 55,041.20

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Solution

The fourth proportional to 97,141.44, 145,732.80 and 55,041.20 is: 82,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.44 : 145,732.80 = 55,041.20 : x
  2. Step 2: Convert to fraction form
    97,141.44/145,732.80 = 55,041.20/x
  3. Step 3: Cross multiply
    97,141.44x = 145,732.80 × 55,041.20
  4. Step 4: Simplify right side
    97,141.44x = 8,021,308,191.36
  5. Step 5: Solve for x
    x = 8,021,308,191.36/97,141.44
  6. Step 6: Final answer
    x = 82,573.49

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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.