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Finding the Fourth Proportional to 307,312, 424,090.56 and 166,000

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Solution

The fourth proportional to 307,312, 424,090.56 and 166,000 is: 229,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,312 : 424,090.56 = 166,000 : x
  2. Step 2: Convert to fraction form
    307,312/424,090.56 = 166,000/x
  3. Step 3: Cross multiply
    307,312x = 424,090.56 × 166,000
  4. Step 4: Simplify right side
    307,312x = 70,399,032,960
  5. Step 5: Solve for x
    x = 70,399,032,960/307,312
  6. Step 6: Final answer
    x = 229,080

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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.