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Finding the Fourth Proportional to 208,325.16, 312,069.78 and 95,848.68

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Solution

The fourth proportional to 208,325.16, 312,069.78 and 95,848.68 is: 143,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,325.16 : 312,069.78 = 95,848.68 : x
  2. Step 2: Convert to fraction form
    208,325.16/312,069.78 = 95,848.68/x
  3. Step 3: Cross multiply
    208,325.16x = 312,069.78 × 95,848.68
  4. Step 4: Simplify right side
    208,325.16x = 29,911,476,480.89
  5. Step 5: Solve for x
    x = 29,911,476,480.89/208,325.16
  6. Step 6: Final answer
    x = 143,580.72

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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.