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Finding the Fourth Proportional to 164,902.74, 227,565.86 and 93,281.24

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Solution

The fourth proportional to 164,902.74, 227,565.86 and 93,281.24 is: 128,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.74 : 227,565.86 = 93,281.24 : x
  2. Step 2: Convert to fraction form
    164,902.74/227,565.86 = 93,281.24/x
  3. Step 3: Cross multiply
    164,902.74x = 227,565.86 × 93,281.24
  4. Step 4: Simplify right side
    164,902.74x = 21,227,623,998.23
  5. Step 5: Solve for x
    x = 21,227,623,998.23/164,902.74
  6. Step 6: Final answer
    x = 128,728.15

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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.