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Finding the Fourth Proportional to 145,816.80, 218,336.40 and 145,816.80

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Solution

The fourth proportional to 145,816.80, 218,336.40 and 145,816.80 is: 218,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816.80 : 218,336.40 = 145,816.80 : x
  2. Step 2: Convert to fraction form
    145,816.80/218,336.40 = 145,816.80/x
  3. Step 3: Cross multiply
    145,816.80x = 218,336.40 × 145,816.80
  4. Step 4: Simplify right side
    145,816.80x = 31,837,115,171.52
  5. Step 5: Solve for x
    x = 31,837,115,171.52/145,816.80
  6. Step 6: Final answer
    x = 218,336.40

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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.