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Finding the Fourth Proportional to 133,114.40, 199,671.60 and 85,875.20

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Solution

The fourth proportional to 133,114.40, 199,671.60 and 85,875.20 is: 128,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,114.40 : 199,671.60 = 85,875.20 : x
  2. Step 2: Convert to fraction form
    133,114.40/199,671.60 = 85,875.20/x
  3. Step 3: Cross multiply
    133,114.40x = 199,671.60 × 85,875.20
  4. Step 4: Simplify right side
    133,114.40x = 17,146,838,584.32
  5. Step 5: Solve for x
    x = 17,146,838,584.32/133,114.40
  6. Step 6: Final answer
    x = 128,812.80

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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.