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Finding the Fourth Proportional to 157,870.46, 217,861.44 and 89,884.46

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Solution

The fourth proportional to 157,870.46, 217,861.44 and 89,884.46 is: 124,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870.46 : 217,861.44 = 89,884.46 : x
  2. Step 2: Convert to fraction form
    157,870.46/217,861.44 = 89,884.46/x
  3. Step 3: Cross multiply
    157,870.46x = 217,861.44 × 89,884.46
  4. Step 4: Simplify right side
    157,870.46x = 19,582,357,889.22
  5. Step 5: Solve for x
    x = 19,582,357,889.22/157,870.46
  6. Step 6: Final answer
    x = 124,040.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.