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Finding the Fourth Proportional to 219,097.16, 328,645.02 and 52,885.16

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Solution

The fourth proportional to 219,097.16, 328,645.02 and 52,885.16 is: 79,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.16 : 328,645.02 = 52,885.16 : x
  2. Step 2: Convert to fraction form
    219,097.16/328,645.02 = 52,885.16/x
  3. Step 3: Cross multiply
    219,097.16x = 328,645.02 × 52,885.16
  4. Step 4: Simplify right side
    219,097.16x = 17,380,444,465.90
  5. Step 5: Solve for x
    x = 17,380,444,465.90/219,097.16
  6. Step 6: Final answer
    x = 79,327.57

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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.