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Finding the Fourth Proportional to 164,808.54, 227,444.49 and 104,357.16

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Solution

The fourth proportional to 164,808.54, 227,444.49 and 104,357.16 is: 144,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,808.54 : 227,444.49 = 104,357.16 : x
  2. Step 2: Convert to fraction form
    164,808.54/227,444.49 = 104,357.16/x
  3. Step 3: Cross multiply
    164,808.54x = 227,444.49 × 104,357.16
  4. Step 4: Simplify right side
    164,808.54x = 23,735,461,034.05
  5. Step 5: Solve for x
    x = 23,735,461,034.05/164,808.54
  6. Step 6: Final answer
    x = 144,018.39

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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.