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Finding the Fourth Proportional to 219,568.96, 303,005.16 and 118,966.96

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Solution

The fourth proportional to 219,568.96, 303,005.16 and 118,966.96 is: 164,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,568.96 : 303,005.16 = 118,966.96 : x
  2. Step 2: Convert to fraction form
    219,568.96/303,005.16 = 118,966.96/x
  3. Step 3: Cross multiply
    219,568.96x = 303,005.16 × 118,966.96
  4. Step 4: Simplify right side
    219,568.96x = 36,047,602,749.51
  5. Step 5: Solve for x
    x = 36,047,602,749.51/219,568.96
  6. Step 6: Final answer
    x = 164,174.40

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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.