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Finding the Fourth Proportional to 164,920.94, 227,489.64 and 145,739.15

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Solution

The fourth proportional to 164,920.94, 227,489.64 and 145,739.15 is: 201,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,920.94 : 227,489.64 = 145,739.15 : x
  2. Step 2: Convert to fraction form
    164,920.94/227,489.64 = 145,739.15/x
  3. Step 3: Cross multiply
    164,920.94x = 227,489.64 × 145,739.15
  4. Step 4: Simplify right side
    164,920.94x = 33,154,146,767.41
  5. Step 5: Solve for x
    x = 33,154,146,767.41/164,920.94
  6. Step 6: Final answer
    x = 201,030.55

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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.