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Finding the Fourth Proportional to 164,497.95, 227,209.58 and 119,104.06

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Solution

The fourth proportional to 164,497.95, 227,209.58 and 119,104.06 is: 164,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,497.95 : 227,209.58 = 119,104.06 : x
  2. Step 2: Convert to fraction form
    164,497.95/227,209.58 = 119,104.06/x
  3. Step 3: Cross multiply
    164,497.95x = 227,209.58 × 119,104.06
  4. Step 4: Simplify right side
    164,497.95x = 27,061,583,448.89
  5. Step 5: Solve for x
    x = 27,061,583,448.89/164,497.95
  6. Step 6: Final answer
    x = 164,510.16

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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.