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Finding the Fourth Proportional to 112,496.46, 169,007.13 and 65,782.14

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Solution

The fourth proportional to 112,496.46, 169,007.13 and 65,782.14 is: 98,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,496.46 : 169,007.13 = 65,782.14 : x
  2. Step 2: Convert to fraction form
    112,496.46/169,007.13 = 65,782.14/x
  3. Step 3: Cross multiply
    112,496.46x = 169,007.13 × 65,782.14
  4. Step 4: Simplify right side
    112,496.46x = 11,117,650,686.66
  5. Step 5: Solve for x
    x = 11,117,650,686.66/112,496.46
  6. Step 6: Final answer
    x = 98,826.67

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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.