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Finding the Fourth Proportional to 164,782.64, 227,411.70 and 93,163.34

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Solution

The fourth proportional to 164,782.64, 227,411.70 and 93,163.34 is: 128,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,782.64 : 227,411.70 = 93,163.34 : x
  2. Step 2: Convert to fraction form
    164,782.64/227,411.70 = 93,163.34/x
  3. Step 3: Cross multiply
    164,782.64x = 227,411.70 × 93,163.34
  4. Step 4: Simplify right side
    164,782.64x = 21,186,433,527.08
  5. Step 5: Solve for x
    x = 21,186,433,527.08/164,782.64
  6. Step 6: Final answer
    x = 128,572.00

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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.