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Finding the Fourth Proportional to 302,063.47, 416,838.77 and 166,097.28

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Solution

The fourth proportional to 302,063.47, 416,838.77 and 166,097.28 is: 229,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,063.47 : 416,838.77 = 166,097.28 : x
  2. Step 2: Convert to fraction form
    302,063.47/416,838.77 = 166,097.28/x
  3. Step 3: Cross multiply
    302,063.47x = 416,838.77 × 166,097.28
  4. Step 4: Simplify right side
    302,063.47x = 69,235,783,811.35
  5. Step 5: Solve for x
    x = 69,235,783,811.35/302,063.47
  6. Step 6: Final answer
    x = 229,209.39

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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.