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Finding the Fourth Proportional to 264,831.40, 397,101.30 and 106,881.40

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Solution

The fourth proportional to 264,831.40, 397,101.30 and 106,881.40 is: 160,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,831.40 : 397,101.30 = 106,881.40 : x
  2. Step 2: Convert to fraction form
    264,831.40/397,101.30 = 106,881.40/x
  3. Step 3: Cross multiply
    264,831.40x = 397,101.30 × 106,881.40
  4. Step 4: Simplify right side
    264,831.40x = 42,442,742,885.82
  5. Step 5: Solve for x
    x = 42,442,742,885.82/264,831.40
  6. Step 6: Final answer
    x = 160,263.26

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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.