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Finding the Fourth Proportional to 103,647.06, 155,266.47 and 96,357.06

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Solution

The fourth proportional to 103,647.06, 155,266.47 and 96,357.06 is: 144,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,647.06 : 155,266.47 = 96,357.06 : x
  2. Step 2: Convert to fraction form
    103,647.06/155,266.47 = 96,357.06/x
  3. Step 3: Cross multiply
    103,647.06x = 155,266.47 × 96,357.06
  4. Step 4: Simplify right side
    103,647.06x = 14,961,020,565.78
  5. Step 5: Solve for x
    x = 14,961,020,565.78/103,647.06
  6. Step 6: Final answer
    x = 144,345.83

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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.