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Finding the Fourth Proportional to 242,313.53, 363,470.39 and 109,038.11

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Solution

The fourth proportional to 242,313.53, 363,470.39 and 109,038.11 is: 163,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,313.53 : 363,470.39 = 109,038.11 : x
  2. Step 2: Convert to fraction form
    242,313.53/363,470.39 = 109,038.11/x
  3. Step 3: Cross multiply
    242,313.53x = 363,470.39 × 109,038.11
  4. Step 4: Simplify right side
    242,313.53x = 39,632,122,004.02
  5. Step 5: Solve for x
    x = 39,632,122,004.02/242,313.53
  6. Step 6: Final answer
    x = 163,557.20

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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.