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Finding the Fourth Proportional to 119,497.37, 164,906.37 and 65,782.13

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Solution

The fourth proportional to 119,497.37, 164,906.37 and 65,782.13 is: 90,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,497.37 : 164,906.37 = 65,782.13 : x
  2. Step 2: Convert to fraction form
    119,497.37/164,906.37 = 65,782.13/x
  3. Step 3: Cross multiply
    119,497.37x = 164,906.37 × 65,782.13
  4. Step 4: Simplify right side
    119,497.37x = 10,847,891,444.64
  5. Step 5: Solve for x
    x = 10,847,891,444.64/119,497.37
  6. Step 6: Final answer
    x = 90,779.34

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1.5x scale

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.