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Finding the Fourth Proportional to 102,369.60, 148,021.20 and 102,369.60

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Solution

The fourth proportional to 102,369.60, 148,021.20 and 102,369.60 is: 148,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,369.60 : 148,021.20 = 102,369.60 : x
  2. Step 2: Convert to fraction form
    102,369.60/148,021.20 = 102,369.60/x
  3. Step 3: Cross multiply
    102,369.60x = 148,021.20 × 102,369.60
  4. Step 4: Simplify right side
    102,369.60x = 15,152,871,035.52
  5. Step 5: Solve for x
    x = 15,152,871,035.52/102,369.60
  6. Step 6: Final answer
    x = 148,021.20

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.