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Finding the Fourth Proportional to 219,568.40, 303,004.68 and 118,966.32

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Solution

The fourth proportional to 219,568.40, 303,004.68 and 118,966.32 is: 164,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,568.40 : 303,004.68 = 118,966.32 : x
  2. Step 2: Convert to fraction form
    219,568.40/303,004.68 = 118,966.32/x
  3. Step 3: Cross multiply
    219,568.40x = 303,004.68 × 118,966.32
  4. Step 4: Simplify right side
    219,568.40x = 36,047,351,722.38
  5. Step 5: Solve for x
    x = 36,047,351,722.38/219,568.40
  6. Step 6: Final answer
    x = 164,173.68

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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.