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Finding the Fourth Proportional to 302,035.82, 416,820.14 and 166,080.12

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Solution

The fourth proportional to 302,035.82, 416,820.14 and 166,080.12 is: 229,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,035.82 : 416,820.14 = 166,080.12 : x
  2. Step 2: Convert to fraction form
    302,035.82/416,820.14 = 166,080.12/x
  3. Step 3: Cross multiply
    302,035.82x = 416,820.14 × 166,080.12
  4. Step 4: Simplify right side
    302,035.82x = 69,225,538,039.22
  5. Step 5: Solve for x
    x = 69,225,538,039.22/302,035.82
  6. Step 6: Final answer
    x = 229,196.45

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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.