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Finding the Fourth Proportional to 164,809.81, 227,442 and 93,200.50

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Solution

The fourth proportional to 164,809.81, 227,442 and 93,200.50 is: 128,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,809.81 : 227,442 = 93,200.50 : x
  2. Step 2: Convert to fraction form
    164,809.81/227,442 = 93,200.50/x
  3. Step 3: Cross multiply
    164,809.81x = 227,442 × 93,200.50
  4. Step 4: Simplify right side
    164,809.81x = 21,197,708,121
  5. Step 5: Solve for x
    x = 21,197,708,121/164,809.81
  6. Step 6: Final answer
    x = 128,619.21

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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.