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Finding the Fourth Proportional to 211,603.50, 317,423.88 and 78,485.22

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Solution

The fourth proportional to 211,603.50, 317,423.88 and 78,485.22 is: 117,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,603.50 : 317,423.88 = 78,485.22 : x
  2. Step 2: Convert to fraction form
    211,603.50/317,423.88 = 78,485.22/x
  3. Step 3: Cross multiply
    211,603.50x = 317,423.88 × 78,485.22
  4. Step 4: Simplify right side
    211,603.50x = 24,913,083,055.05
  5. Step 5: Solve for x
    x = 24,913,083,055.05/211,603.50
  6. Step 6: Final answer
    x = 117,734.74

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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.