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Finding the Fourth Proportional to 357,135.50, 492,831.48 and 195,993.24

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Solution

The fourth proportional to 357,135.50, 492,831.48 and 195,993.24 is: 270,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,135.50 : 492,831.48 = 195,993.24 : x
  2. Step 2: Convert to fraction form
    357,135.50/492,831.48 = 195,993.24/x
  3. Step 3: Cross multiply
    357,135.50x = 492,831.48 × 195,993.24
  4. Step 4: Simplify right side
    357,135.50x = 96,591,636,075.04
  5. Step 5: Solve for x
    x = 96,591,636,075.04/357,135.50
  6. Step 6: Final answer
    x = 270,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.