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Finding the Fourth Proportional to 164,809.96, 227,435.70 and 89,358.28

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Solution

The fourth proportional to 164,809.96, 227,435.70 and 89,358.28 is: 123,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,809.96 : 227,435.70 = 89,358.28 : x
  2. Step 2: Convert to fraction form
    164,809.96/227,435.70 = 89,358.28/x
  3. Step 3: Cross multiply
    164,809.96x = 227,435.70 × 89,358.28
  4. Step 4: Simplify right side
    164,809.96x = 20,323,262,962.60
  5. Step 5: Solve for x
    x = 20,323,262,962.60/164,809.96
  6. Step 6: Final answer
    x = 123,313.32

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1.5x scale

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.