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Finding the Fourth Proportional to 302,203.09, 417,047.30 and 166,244.59

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Solution

The fourth proportional to 302,203.09, 417,047.30 and 166,244.59 is: 229,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,203.09 : 417,047.30 = 166,244.59 : x
  2. Step 2: Convert to fraction form
    302,203.09/417,047.30 = 166,244.59/x
  3. Step 3: Cross multiply
    302,203.09x = 417,047.30 × 166,244.59
  4. Step 4: Simplify right side
    302,203.09x = 69,331,857,399.11
  5. Step 5: Solve for x
    x = 69,331,857,399.11/302,203.09
  6. Step 6: Final answer
    x = 229,421.40

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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.