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Finding the Fourth Proportional to 201,398.34, 277,969.95 and 153,566.22

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Solution

The fourth proportional to 201,398.34, 277,969.95 and 153,566.22 is: 211,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398.34 : 277,969.95 = 153,566.22 : x
  2. Step 2: Convert to fraction form
    201,398.34/277,969.95 = 153,566.22/x
  3. Step 3: Cross multiply
    201,398.34x = 277,969.95 × 153,566.22
  4. Step 4: Simplify right side
    201,398.34x = 42,686,794,495.09
  5. Step 5: Solve for x
    x = 42,686,794,495.09/201,398.34
  6. Step 6: Final answer
    x = 211,952.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.