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Finding the Fourth Proportional to 242,530.78, 334,831.21 and 160,969.64

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Solution

The fourth proportional to 242,530.78, 334,831.21 and 160,969.64 is: 222,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.78 : 334,831.21 = 160,969.64 : x
  2. Step 2: Convert to fraction form
    242,530.78/334,831.21 = 160,969.64/x
  3. Step 3: Cross multiply
    242,530.78x = 334,831.21 × 160,969.64
  4. Step 4: Simplify right side
    242,530.78x = 53,897,658,513.50
  5. Step 5: Solve for x
    x = 53,897,658,513.50/242,530.78
  6. Step 6: Final answer
    x = 222,230.18

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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.