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Finding the Fourth Proportional to 201,984.53, 301,740.81 and 145,341.23

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Solution

The fourth proportional to 201,984.53, 301,740.81 and 145,341.23 is: 217,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984.53 : 301,740.81 = 145,341.23 : x
  2. Step 2: Convert to fraction form
    201,984.53/301,740.81 = 145,341.23/x
  3. Step 3: Cross multiply
    201,984.53x = 301,740.81 × 145,341.23
  4. Step 4: Simplify right side
    201,984.53x = 43,855,378,957.89
  5. Step 5: Solve for x
    x = 43,855,378,957.89/201,984.53
  6. Step 6: Final answer
    x = 217,122.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.