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Finding the Fourth Proportional to 202,304.40, 303,784.65 and 136,038.30

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Solution

The fourth proportional to 202,304.40, 303,784.65 and 136,038.30 is: 204,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,304.40 : 303,784.65 = 136,038.30 : x
  2. Step 2: Convert to fraction form
    202,304.40/303,784.65 = 136,038.30/x
  3. Step 3: Cross multiply
    202,304.40x = 303,784.65 × 136,038.30
  4. Step 4: Simplify right side
    202,304.40x = 41,326,347,352.10
  5. Step 5: Solve for x
    x = 41,326,347,352.10/202,304.40
  6. Step 6: Final answer
    x = 204,278.05

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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.