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Finding the Fourth Proportional to 201,698.70, 302,418.45 and 83,417.10

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Solution

The fourth proportional to 201,698.70, 302,418.45 and 83,417.10 is: 125,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.70 : 302,418.45 = 83,417.10 : x
  2. Step 2: Convert to fraction form
    201,698.70/302,418.45 = 83,417.10/x
  3. Step 3: Cross multiply
    201,698.70x = 302,418.45 × 83,417.10
  4. Step 4: Simplify right side
    201,698.70x = 25,226,870,085.50
  5. Step 5: Solve for x
    x = 25,226,870,085.50/201,698.70
  6. Step 6: Final answer
    x = 125,072.05

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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.