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Finding the Fourth Proportional to 133,210.75, 199,894.94 and 49,030.04

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Solution

The fourth proportional to 133,210.75, 199,894.94 and 49,030.04 is: 73,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,210.75 : 199,894.94 = 49,030.04 : x
  2. Step 2: Convert to fraction form
    133,210.75/199,894.94 = 49,030.04/x
  3. Step 3: Cross multiply
    133,210.75x = 199,894.94 × 49,030.04
  4. Step 4: Simplify right side
    133,210.75x = 9,800,856,904.00
  5. Step 5: Solve for x
    x = 9,800,856,904.00/133,210.75
  6. Step 6: Final answer
    x = 73,574.07

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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.