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Finding the Fourth Proportional to 302,048.01, 416,815.57 and 166,081

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Solution

The fourth proportional to 302,048.01, 416,815.57 and 166,081 is: 229,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048.01 : 416,815.57 = 166,081 : x
  2. Step 2: Convert to fraction form
    302,048.01/416,815.57 = 166,081/x
  3. Step 3: Cross multiply
    302,048.01x = 416,815.57 × 166,081
  4. Step 4: Simplify right side
    302,048.01x = 69,225,146,681.17
  5. Step 5: Solve for x
    x = 69,225,146,681.17/302,048.01
  6. Step 6: Final answer
    x = 229,185.91

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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.