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Finding the Fourth Proportional to 150,223.02, 225,319.94 and 39,415.02

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Solution

The fourth proportional to 150,223.02, 225,319.94 and 39,415.02 is: 59,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,223.02 : 225,319.94 = 39,415.02 : x
  2. Step 2: Convert to fraction form
    150,223.02/225,319.94 = 39,415.02/x
  3. Step 3: Cross multiply
    150,223.02x = 225,319.94 × 39,415.02
  4. Step 4: Simplify right side
    150,223.02x = 8,880,989,941.50
  5. Step 5: Solve for x
    x = 8,880,989,941.50/150,223.02
  6. Step 6: Final answer
    x = 59,118.70

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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.