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Finding the Fourth Proportional to 129,383.26, 178,547.06 and 72,794.50

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Solution

The fourth proportional to 129,383.26, 178,547.06 and 72,794.50 is: 100,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,383.26 : 178,547.06 = 72,794.50 : x
  2. Step 2: Convert to fraction form
    129,383.26/178,547.06 = 72,794.50/x
  3. Step 3: Cross multiply
    129,383.26x = 178,547.06 × 72,794.50
  4. Step 4: Simplify right side
    129,383.26x = 12,997,243,959.17
  5. Step 5: Solve for x
    x = 12,997,243,959.17/129,383.26
  6. Step 6: Final answer
    x = 100,455.38

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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.