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Finding the Fourth Proportional to 164,992.84, 227,572.44 and 151,424.60

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Solution

The fourth proportional to 164,992.84, 227,572.44 and 151,424.60 is: 208,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992.84 : 227,572.44 = 151,424.60 : x
  2. Step 2: Convert to fraction form
    164,992.84/227,572.44 = 151,424.60/x
  3. Step 3: Cross multiply
    164,992.84x = 227,572.44 × 151,424.60
  4. Step 4: Simplify right side
    164,992.84x = 34,460,065,698.02
  5. Step 5: Solve for x
    x = 34,460,065,698.02/164,992.84
  6. Step 6: Final answer
    x = 208,857.95

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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.