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Finding the Fourth Proportional to 133,024.84, 199,364.86 and 54,047.40

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Solution

The fourth proportional to 133,024.84, 199,364.86 and 54,047.40 is: 81,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024.84 : 199,364.86 = 54,047.40 : x
  2. Step 2: Convert to fraction form
    133,024.84/199,364.86 = 54,047.40/x
  3. Step 3: Cross multiply
    133,024.84x = 199,364.86 × 54,047.40
  4. Step 4: Simplify right side
    133,024.84x = 10,775,152,334.36
  5. Step 5: Solve for x
    x = 10,775,152,334.36/133,024.84
  6. Step 6: Final answer
    x = 81,001.05

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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.