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Finding the Fourth Proportional to 200,886.34, 299,554.66 and 199,083.28

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Solution

The fourth proportional to 200,886.34, 299,554.66 and 199,083.28 is: 296,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.34 : 299,554.66 = 199,083.28 : x
  2. Step 2: Convert to fraction form
    200,886.34/299,554.66 = 199,083.28/x
  3. Step 3: Cross multiply
    200,886.34x = 299,554.66 × 199,083.28
  4. Step 4: Simplify right side
    200,886.34x = 59,636,323,256.67
  5. Step 5: Solve for x
    x = 59,636,323,256.67/200,886.34
  6. Step 6: Final answer
    x = 296,866.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.