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Finding the Fourth Proportional to 302,056.34, 416,829.38 and 166,090.55

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Solution

The fourth proportional to 302,056.34, 416,829.38 and 166,090.55 is: 229,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,056.34 : 416,829.38 = 166,090.55 : x
  2. Step 2: Convert to fraction form
    302,056.34/416,829.38 = 166,090.55/x
  3. Step 3: Cross multiply
    302,056.34x = 416,829.38 × 166,090.55
  4. Step 4: Simplify right side
    302,056.34x = 69,231,418,065.76
  5. Step 5: Solve for x
    x = 69,231,418,065.76/302,056.34
  6. Step 6: Final answer
    x = 229,200.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.