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Finding the Fourth Proportional to 302,208.35, 417,031.10 and 166,220.35

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Solution

The fourth proportional to 302,208.35, 417,031.10 and 166,220.35 is: 229,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,208.35 : 417,031.10 = 166,220.35 : x
  2. Step 2: Convert to fraction form
    302,208.35/417,031.10 = 166,220.35/x
  3. Step 3: Cross multiply
    302,208.35x = 417,031.10 × 166,220.35
  4. Step 4: Simplify right side
    302,208.35x = 69,319,055,402.89
  5. Step 5: Solve for x
    x = 69,319,055,402.89/302,208.35
  6. Step 6: Final answer
    x = 229,375.05

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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.