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Finding the Fourth Proportional to 118,785.86, 178,206.72 and 34,547.88

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Solution

The fourth proportional to 118,785.86, 178,206.72 and 34,547.88 is: 51,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,785.86 : 178,206.72 = 34,547.88 : x
  2. Step 2: Convert to fraction form
    118,785.86/178,206.72 = 34,547.88/x
  3. Step 3: Cross multiply
    118,785.86x = 178,206.72 × 34,547.88
  4. Step 4: Simplify right side
    118,785.86x = 6,156,664,205.01
  5. Step 5: Solve for x
    x = 6,156,664,205.01/118,785.86
  6. Step 6: Final answer
    x = 51,829.94

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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.