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Finding the Fourth Proportional to 133,783.29, 200,695.59 and 45,029.79

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Solution

The fourth proportional to 133,783.29, 200,695.59 and 45,029.79 is: 67,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,783.29 : 200,695.59 = 45,029.79 : x
  2. Step 2: Convert to fraction form
    133,783.29/200,695.59 = 45,029.79/x
  3. Step 3: Cross multiply
    133,783.29x = 200,695.59 × 45,029.79
  4. Step 4: Simplify right side
    133,783.29x = 9,037,280,271.63
  5. Step 5: Solve for x
    x = 9,037,280,271.63/133,783.29
  6. Step 6: Final answer
    x = 67,551.64

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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.