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Finding the Fourth Proportional to 133,803.12, 200,666.34 and 53,841

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Solution

The fourth proportional to 133,803.12, 200,666.34 and 53,841 is: 80,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,803.12 : 200,666.34 = 53,841 : x
  2. Step 2: Convert to fraction form
    133,803.12/200,666.34 = 53,841/x
  3. Step 3: Cross multiply
    133,803.12x = 200,666.34 × 53,841
  4. Step 4: Simplify right side
    133,803.12x = 10,804,076,411.94
  5. Step 5: Solve for x
    x = 10,804,076,411.94/133,803.12
  6. Step 6: Final answer
    x = 80,746.07

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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.