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Finding the Fourth Proportional to 371,886.19, 513,204.76 and 202,120.31

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Solution

The fourth proportional to 371,886.19, 513,204.76 and 202,120.31 is: 278,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,886.19 : 513,204.76 = 202,120.31 : x
  2. Step 2: Convert to fraction form
    371,886.19/513,204.76 = 202,120.31/x
  3. Step 3: Cross multiply
    371,886.19x = 513,204.76 × 202,120.31
  4. Step 4: Simplify right side
    371,886.19x = 103,729,106,720.34
  5. Step 5: Solve for x
    x = 103,729,106,720.34/371,886.19
  6. Step 6: Final answer
    x = 278,927.02

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