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Finding the Fourth Proportional to 261,405.10, 392,107.65 and 202,283.20

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Solution

The fourth proportional to 261,405.10, 392,107.65 and 202,283.20 is: 303,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,405.10 : 392,107.65 = 202,283.20 : x
  2. Step 2: Convert to fraction form
    261,405.10/392,107.65 = 202,283.20/x
  3. Step 3: Cross multiply
    261,405.10x = 392,107.65 × 202,283.20
  4. Step 4: Simplify right side
    261,405.10x = 79,316,790,186.48
  5. Step 5: Solve for x
    x = 79,316,790,186.48/261,405.10
  6. Step 6: Final answer
    x = 303,424.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.