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Finding the Fourth Proportional to 133,784.58, 200,707.59 and 45,035.72

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Solution

The fourth proportional to 133,784.58, 200,707.59 and 45,035.72 is: 67,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.58 : 200,707.59 = 45,035.72 : x
  2. Step 2: Convert to fraction form
    133,784.58/200,707.59 = 45,035.72/x
  3. Step 3: Cross multiply
    133,784.58x = 200,707.59 × 45,035.72
  4. Step 4: Simplify right side
    133,784.58x = 9,039,010,825.11
  5. Step 5: Solve for x
    x = 9,039,010,825.11/133,784.58
  6. Step 6: Final answer
    x = 67,563.92

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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.