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Finding the Fourth Proportional to 357,568.20, 536,232.06 and 144,280.98

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Solution

The fourth proportional to 357,568.20, 536,232.06 and 144,280.98 is: 216,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,568.20 : 536,232.06 = 144,280.98 : x
  2. Step 2: Convert to fraction form
    357,568.20/536,232.06 = 144,280.98/x
  3. Step 3: Cross multiply
    357,568.20x = 536,232.06 × 144,280.98
  4. Step 4: Simplify right side
    357,568.20x = 77,368,087,124.22
  5. Step 5: Solve for x
    x = 77,368,087,124.22/357,568.20
  6. Step 6: Final answer
    x = 216,372.95

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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.