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Finding the Fourth Proportional to 208,385.96, 312,578.93 and 96,032.94

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Solution

The fourth proportional to 208,385.96, 312,578.93 and 96,032.94 is: 144,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,385.96 : 312,578.93 = 96,032.94 : x
  2. Step 2: Convert to fraction form
    208,385.96/312,578.93 = 96,032.94/x
  3. Step 3: Cross multiply
    208,385.96x = 312,578.93 × 96,032.94
  4. Step 4: Simplify right side
    208,385.96x = 30,017,871,586.89
  5. Step 5: Solve for x
    x = 30,017,871,586.89/208,385.96
  6. Step 6: Final answer
    x = 144,049.40

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1.5x scale

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.