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Finding the Fourth Proportional to 164,978.19, 246,443.76 and 119,639.66

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Solution

The fourth proportional to 164,978.19, 246,443.76 and 119,639.66 is: 178,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,978.19 : 246,443.76 = 119,639.66 : x
  2. Step 2: Convert to fraction form
    164,978.19/246,443.76 = 119,639.66/x
  3. Step 3: Cross multiply
    164,978.19x = 246,443.76 × 119,639.66
  4. Step 4: Simplify right side
    164,978.19x = 29,484,447,655.52
  5. Step 5: Solve for x
    x = 29,484,447,655.52/164,978.19
  6. Step 6: Final answer
    x = 178,717.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.