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Finding the Fourth Proportional to 133,710.90, 200,566.35 and 107,466.90

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Solution

The fourth proportional to 133,710.90, 200,566.35 and 107,466.90 is: 161,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710.90 : 200,566.35 = 107,466.90 : x
  2. Step 2: Convert to fraction form
    133,710.90/200,566.35 = 107,466.90/x
  3. Step 3: Cross multiply
    133,710.90x = 200,566.35 × 107,466.90
  4. Step 4: Simplify right side
    133,710.90x = 21,554,243,878.82
  5. Step 5: Solve for x
    x = 21,554,243,878.82/133,710.90
  6. Step 6: Final answer
    x = 161,200.35

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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.