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Finding the Fourth Proportional to 164,797.30, 227,386.74 and 96,825.34

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Solution

The fourth proportional to 164,797.30, 227,386.74 and 96,825.34 is: 133,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,797.30 : 227,386.74 = 96,825.34 : x
  2. Step 2: Convert to fraction form
    164,797.30/227,386.74 = 96,825.34/x
  3. Step 3: Cross multiply
    164,797.30x = 227,386.74 × 96,825.34
  4. Step 4: Simplify right side
    164,797.30x = 22,016,798,411.99
  5. Step 5: Solve for x
    x = 22,016,798,411.99/164,797.30
  6. Step 6: Final answer
    x = 133,599.27

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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.