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Finding the Fourth Proportional to 133,047.60, 199,409.40 and 58,009.20

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Solution

The fourth proportional to 133,047.60, 199,409.40 and 58,009.20 is: 86,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.60 : 199,409.40 = 58,009.20 : x
  2. Step 2: Convert to fraction form
    133,047.60/199,409.40 = 58,009.20/x
  3. Step 3: Cross multiply
    133,047.60x = 199,409.40 × 58,009.20
  4. Step 4: Simplify right side
    133,047.60x = 11,567,579,766.48
  5. Step 5: Solve for x
    x = 11,567,579,766.48/133,047.60
  6. Step 6: Final answer
    x = 86,943.17

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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.