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Finding the Fourth Proportional to 201,898.65, 302,562.23 and 111,980.95

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Solution

The fourth proportional to 201,898.65, 302,562.23 and 111,980.95 is: 167,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.65 : 302,562.23 = 111,980.95 : x
  2. Step 2: Convert to fraction form
    201,898.65/302,562.23 = 111,980.95/x
  3. Step 3: Cross multiply
    201,898.65x = 302,562.23 × 111,980.95
  4. Step 4: Simplify right side
    201,898.65x = 33,881,205,473.07
  5. Step 5: Solve for x
    x = 33,881,205,473.07/201,898.65
  6. Step 6: Final answer
    x = 167,812.94

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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.