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Finding the Fourth Proportional to 146,022.98, 201,602.93 and 111,966.03

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Solution

The fourth proportional to 146,022.98, 201,602.93 and 111,966.03 is: 154,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022.98 : 201,602.93 = 111,966.03 : x
  2. Step 2: Convert to fraction form
    146,022.98/201,602.93 = 111,966.03/x
  3. Step 3: Cross multiply
    146,022.98x = 201,602.93 × 111,966.03
  4. Step 4: Simplify right side
    146,022.98x = 22,572,679,148.64
  5. Step 5: Solve for x
    x = 22,572,679,148.64/146,022.98
  6. Step 6: Final answer
    x = 154,583.07

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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.