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Finding the Fourth Proportional to 371,083.42, 512,095.31 and 201,317.50

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Solution

The fourth proportional to 371,083.42, 512,095.31 and 201,317.50 is: 277,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,083.42 : 512,095.31 = 201,317.50 : x
  2. Step 2: Convert to fraction form
    371,083.42/512,095.31 = 201,317.50/x
  3. Step 3: Cross multiply
    371,083.42x = 512,095.31 × 201,317.50
  4. Step 4: Simplify right side
    371,083.42x = 103,093,746,564.34
  5. Step 5: Solve for x
    x = 103,093,746,564.34/371,083.42
  6. Step 6: Final answer
    x = 277,818.25

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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.