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Finding the Fourth Proportional to 222,658.17, 307,235.47 and 135,398.76

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Solution

The fourth proportional to 222,658.17, 307,235.47 and 135,398.76 is: 186,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,658.17 : 307,235.47 = 135,398.76 : x
  2. Step 2: Convert to fraction form
    222,658.17/307,235.47 = 135,398.76/x
  3. Step 3: Cross multiply
    222,658.17x = 307,235.47 × 135,398.76
  4. Step 4: Simplify right side
    222,658.17x = 41,599,301,666.02
  5. Step 5: Solve for x
    x = 41,599,301,666.02/222,658.17
  6. Step 6: Final answer
    x = 186,830.34

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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.