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Finding the Fourth Proportional to 146,000.69, 201,485.75 and 84,742.14

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Solution

The fourth proportional to 146,000.69, 201,485.75 and 84,742.14 is: 116,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,000.69 : 201,485.75 = 84,742.14 : x
  2. Step 2: Convert to fraction form
    146,000.69/201,485.75 = 84,742.14/x
  3. Step 3: Cross multiply
    146,000.69x = 201,485.75 × 84,742.14
  4. Step 4: Simplify right side
    146,000.69x = 17,074,333,634.51
  5. Step 5: Solve for x
    x = 17,074,333,634.51/146,000.69
  6. Step 6: Final answer
    x = 116,946.94

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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.