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Finding the Fourth Proportional to 120,697.02, 181,045.53 and 37,597.50

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Solution

The fourth proportional to 120,697.02, 181,045.53 and 37,597.50 is: 56,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,697.02 : 181,045.53 = 37,597.50 : x
  2. Step 2: Convert to fraction form
    120,697.02/181,045.53 = 37,597.50/x
  3. Step 3: Cross multiply
    120,697.02x = 181,045.53 × 37,597.50
  4. Step 4: Simplify right side
    120,697.02x = 6,806,859,314.18
  5. Step 5: Solve for x
    x = 6,806,859,314.18/120,697.02
  6. Step 6: Final answer
    x = 56,396.25

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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.