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Finding the Fourth Proportional to 164,510.46, 227,024.51 and 89,058.96

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Solution

The fourth proportional to 164,510.46, 227,024.51 and 89,058.96 is: 122,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,510.46 : 227,024.51 = 89,058.96 : x
  2. Step 2: Convert to fraction form
    164,510.46/227,024.51 = 89,058.96/x
  3. Step 3: Cross multiply
    164,510.46x = 227,024.51 × 89,058.96
  4. Step 4: Simplify right side
    164,510.46x = 20,218,565,174.69
  5. Step 5: Solve for x
    x = 20,218,565,174.69/164,510.46
  6. Step 6: Final answer
    x = 122,901.40

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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.