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Finding the Fourth Proportional to 185,846.94, 278,790.66 and 59,457.46

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Solution

The fourth proportional to 185,846.94, 278,790.66 and 59,457.46 is: 89,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,846.94 : 278,790.66 = 59,457.46 : x
  2. Step 2: Convert to fraction form
    185,846.94/278,790.66 = 59,457.46/x
  3. Step 3: Cross multiply
    185,846.94x = 278,790.66 × 59,457.46
  4. Step 4: Simplify right side
    185,846.94x = 16,576,184,515.32
  5. Step 5: Solve for x
    x = 16,576,184,515.32/185,846.94
  6. Step 6: Final answer
    x = 89,192.67

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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.