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Finding the Fourth Proportional to 120,698.02, 181,047.03 and 37,598.50

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Solution

The fourth proportional to 120,698.02, 181,047.03 and 37,598.50 is: 56,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.02 : 181,047.03 = 37,598.50 : x
  2. Step 2: Convert to fraction form
    120,698.02/181,047.03 = 37,598.50/x
  3. Step 3: Cross multiply
    120,698.02x = 181,047.03 × 37,598.50
  4. Step 4: Simplify right side
    120,698.02x = 6,807,096,757.46
  5. Step 5: Solve for x
    x = 6,807,096,757.46/120,698.02
  6. Step 6: Final answer
    x = 56,397.75

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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.