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Finding the Fourth Proportional to 302,063.34, 416,838.60 and 166,097.15

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Solution

The fourth proportional to 302,063.34, 416,838.60 and 166,097.15 is: 229,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,063.34 : 416,838.60 = 166,097.15 : x
  2. Step 2: Convert to fraction form
    302,063.34/416,838.60 = 166,097.15/x
  3. Step 3: Cross multiply
    302,063.34x = 416,838.60 × 166,097.15
  4. Step 4: Simplify right side
    302,063.34x = 69,235,700,555.31
  5. Step 5: Solve for x
    x = 69,235,700,555.31/302,063.34
  6. Step 6: Final answer
    x = 229,209.21

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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.