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Finding the Fourth Proportional to 205,316, 283,336.08 and 111,108

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Solution

The fourth proportional to 205,316, 283,336.08 and 111,108 is: 153,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,316 : 283,336.08 = 111,108 : x
  2. Step 2: Convert to fraction form
    205,316/283,336.08 = 111,108/x
  3. Step 3: Cross multiply
    205,316x = 283,336.08 × 111,108
  4. Step 4: Simplify right side
    205,316x = 31,480,905,176.64
  5. Step 5: Solve for x
    x = 31,480,905,176.64/205,316
  6. Step 6: Final answer
    x = 153,329.04

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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.