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Finding the Fourth Proportional to 189,190.16, 283,814.40 and 64,502

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Solution

The fourth proportional to 189,190.16, 283,814.40 and 64,502 is: 96,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,190.16 : 283,814.40 = 64,502 : x
  2. Step 2: Convert to fraction form
    189,190.16/283,814.40 = 64,502/x
  3. Step 3: Cross multiply
    189,190.16x = 283,814.40 × 64,502
  4. Step 4: Simplify right side
    189,190.16x = 18,306,596,428.80
  5. Step 5: Solve for x
    x = 18,306,596,428.80/189,190.16
  6. Step 6: Final answer
    x = 96,762.94

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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.