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Finding the Fourth Proportional to 310,075.18, 465,029.50 and 85,382.12

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Solution

The fourth proportional to 310,075.18, 465,029.50 and 85,382.12 is: 128,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,075.18 : 465,029.50 = 85,382.12 : x
  2. Step 2: Convert to fraction form
    310,075.18/465,029.50 = 85,382.12/x
  3. Step 3: Cross multiply
    310,075.18x = 465,029.50 × 85,382.12
  4. Step 4: Simplify right side
    310,075.18x = 39,705,204,572.54
  5. Step 5: Solve for x
    x = 39,705,204,572.54/310,075.18
  6. Step 6: Final answer
    x = 128,050.25

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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.