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Finding the Fourth Proportional to 164,653.02, 227,232.54 and 100,147.46

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Solution

The fourth proportional to 164,653.02, 227,232.54 and 100,147.46 is: 138,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,653.02 : 227,232.54 = 100,147.46 : x
  2. Step 2: Convert to fraction form
    164,653.02/227,232.54 = 100,147.46/x
  3. Step 3: Cross multiply
    164,653.02x = 227,232.54 × 100,147.46
  4. Step 4: Simplify right side
    164,653.02x = 22,756,760,574.19
  5. Step 5: Solve for x
    x = 22,756,760,574.19/164,653.02
  6. Step 6: Final answer
    x = 138,210.40

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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.