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Finding the Fourth Proportional to 133,055.60, 199,097.40 and 98,063.60

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Solution

The fourth proportional to 133,055.60, 199,097.40 and 98,063.60 is: 146,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,055.60 : 199,097.40 = 98,063.60 : x
  2. Step 2: Convert to fraction form
    133,055.60/199,097.40 = 98,063.60/x
  3. Step 3: Cross multiply
    133,055.60x = 199,097.40 × 98,063.60
  4. Step 4: Simplify right side
    133,055.60x = 19,524,207,794.64
  5. Step 5: Solve for x
    x = 19,524,207,794.64/133,055.60
  6. Step 6: Final answer
    x = 146,737.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.