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Finding the Fourth Proportional to 164,656.12, 227,045.08 and 107,189.48

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Solution

The fourth proportional to 164,656.12, 227,045.08 and 107,189.48 is: 147,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656.12 : 227,045.08 = 107,189.48 : x
  2. Step 2: Convert to fraction form
    164,656.12/227,045.08 = 107,189.48/x
  3. Step 3: Cross multiply
    164,656.12x = 227,045.08 × 107,189.48
  4. Step 4: Simplify right side
    164,656.12x = 24,336,844,061.76
  5. Step 5: Solve for x
    x = 24,336,844,061.76/164,656.12
  6. Step 6: Final answer
    x = 147,804.07

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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.