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Finding the Fourth Proportional to 357,121.67, 492,831.63 and 195,987.16

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Solution

The fourth proportional to 357,121.67, 492,831.63 and 195,987.16 is: 270,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,121.67 : 492,831.63 = 195,987.16 : x
  2. Step 2: Convert to fraction form
    357,121.67/492,831.63 = 195,987.16/x
  3. Step 3: Cross multiply
    357,121.67x = 492,831.63 × 195,987.16
  4. Step 4: Simplify right side
    357,121.67x = 96,588,668,077.78
  5. Step 5: Solve for x
    x = 96,588,668,077.78/357,121.67
  6. Step 6: Final answer
    x = 270,464.32

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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.