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Finding the Fourth Proportional to 133,509.51, 200,263.71 and 54,623.67

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Solution

The fourth proportional to 133,509.51, 200,263.71 and 54,623.67 is: 81,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509.51 : 200,263.71 = 54,623.67 : x
  2. Step 2: Convert to fraction form
    133,509.51/200,263.71 = 54,623.67/x
  3. Step 3: Cross multiply
    133,509.51x = 200,263.71 × 54,623.67
  4. Step 4: Simplify right side
    133,509.51x = 10,939,138,808.02
  5. Step 5: Solve for x
    x = 10,939,138,808.02/133,509.51
  6. Step 6: Final answer
    x = 81,935.28

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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.