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Finding the Fourth Proportional to 137,056.63, 205,561.37 and 37,224.87

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Solution

The fourth proportional to 137,056.63, 205,561.37 and 37,224.87 is: 55,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056.63 : 205,561.37 = 37,224.87 : x
  2. Step 2: Convert to fraction form
    137,056.63/205,561.37 = 37,224.87/x
  3. Step 3: Cross multiply
    137,056.63x = 205,561.37 × 37,224.87
  4. Step 4: Simplify right side
    137,056.63x = 7,651,994,492.78
  5. Step 5: Solve for x
    x = 7,651,994,492.78/137,056.63
  6. Step 6: Final answer
    x = 55,830.90

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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.