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Finding the Fourth Proportional to 357,892.12, 536,444.49 and 147,415.24

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Solution

The fourth proportional to 357,892.12, 536,444.49 and 147,415.24 is: 220,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,892.12 : 536,444.49 = 147,415.24 : x
  2. Step 2: Convert to fraction form
    357,892.12/536,444.49 = 147,415.24/x
  3. Step 3: Cross multiply
    357,892.12x = 536,444.49 × 147,415.24
  4. Step 4: Simplify right side
    357,892.12x = 79,080,093,240.03
  5. Step 5: Solve for x
    x = 79,080,093,240.03/357,892.12
  6. Step 6: Final answer
    x = 220,960.70

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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.