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Finding the Fourth Proportional to 229,182, 343,911.24 and 97,854

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Solution

The fourth proportional to 229,182, 343,911.24 and 97,854 is: 146,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,182 : 343,911.24 = 97,854 : x
  2. Step 2: Convert to fraction form
    229,182/343,911.24 = 97,854/x
  3. Step 3: Cross multiply
    229,182x = 343,911.24 × 97,854
  4. Step 4: Simplify right side
    229,182x = 33,653,090,478.96
  5. Step 5: Solve for x
    x = 33,653,090,478.96/229,182
  6. Step 6: Final answer
    x = 146,840.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.