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Finding the Fourth Proportional to 330,842, 496,197.12 and 94,186.64

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Solution

The fourth proportional to 330,842, 496,197.12 and 94,186.64 is: 141,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,842 : 496,197.12 = 94,186.64 : x
  2. Step 2: Convert to fraction form
    330,842/496,197.12 = 94,186.64/x
  3. Step 3: Cross multiply
    330,842x = 496,197.12 × 94,186.64
  4. Step 4: Simplify right side
    330,842x = 46,735,139,510.48
  5. Step 5: Solve for x
    x = 46,735,139,510.48/330,842
  6. Step 6: Final answer
    x = 141,261.20

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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.