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Finding the Fourth Proportional to 133,053.60, 199,094.40 and 98,061.60

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Solution

The fourth proportional to 133,053.60, 199,094.40 and 98,061.60 is: 146,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.60 : 199,094.40 = 98,061.60 : x
  2. Step 2: Convert to fraction form
    133,053.60/199,094.40 = 98,061.60/x
  3. Step 3: Cross multiply
    133,053.60x = 199,094.40 × 98,061.60
  4. Step 4: Simplify right side
    133,053.60x = 19,523,515,415.04
  5. Step 5: Solve for x
    x = 19,523,515,415.04/133,053.60
  6. Step 6: Final answer
    x = 146,734.21

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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.