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Finding the Fourth Proportional to 243,660, 365,543.76 and 103,538.40

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Solution

The fourth proportional to 243,660, 365,543.76 and 103,538.40 is: 155,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,660 : 365,543.76 = 103,538.40 : x
  2. Step 2: Convert to fraction form
    243,660/365,543.76 = 103,538.40/x
  3. Step 3: Cross multiply
    243,660x = 365,543.76 × 103,538.40
  4. Step 4: Simplify right side
    243,660x = 37,847,816,040.38
  5. Step 5: Solve for x
    x = 37,847,816,040.38/243,660
  6. Step 6: Final answer
    x = 155,330.44

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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.