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Finding the Fourth Proportional to 302,095.63, 416,883.14 and 166,129.43

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Solution

The fourth proportional to 302,095.63, 416,883.14 and 166,129.43 is: 229,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,095.63 : 416,883.14 = 166,129.43 : x
  2. Step 2: Convert to fraction form
    302,095.63/416,883.14 = 166,129.43/x
  3. Step 3: Cross multiply
    302,095.63x = 416,883.14 × 166,129.43
  4. Step 4: Simplify right side
    302,095.63x = 69,256,558,424.81
  5. Step 5: Solve for x
    x = 69,256,558,424.81/302,095.63
  6. Step 6: Final answer
    x = 229,253.76

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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.