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Finding the Fourth Proportional to 102,779.86, 154,047.06 and 52,883.86

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Solution

The fourth proportional to 102,779.86, 154,047.06 and 52,883.86 is: 79,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,779.86 : 154,047.06 = 52,883.86 : x
  2. Step 2: Convert to fraction form
    102,779.86/154,047.06 = 52,883.86/x
  3. Step 3: Cross multiply
    102,779.86x = 154,047.06 × 52,883.86
  4. Step 4: Simplify right side
    102,779.86x = 8,146,603,154.45
  5. Step 5: Solve for x
    x = 8,146,603,154.45/102,779.86
  6. Step 6: Final answer
    x = 79,262.64

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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.