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Finding the Fourth Proportional to 492,254.94, 738,506.95 and 137,269.00

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Solution

The fourth proportional to 492,254.94, 738,506.95 and 137,269.00 is: 205,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,254.94 : 738,506.95 = 137,269.00 : x
  2. Step 2: Convert to fraction form
    492,254.94/738,506.95 = 137,269.00/x
  3. Step 3: Cross multiply
    492,254.94x = 738,506.95 × 137,269.00
  4. Step 4: Simplify right side
    492,254.94x = 101,374,106,140.67
  5. Step 5: Solve for x
    x = 101,374,106,140.67/492,254.94
  6. Step 6: Final answer
    x = 205,938.22

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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.