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Finding the Fourth Proportional to 102,515.40, 153,773.10 and 81,779.40

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Solution

The fourth proportional to 102,515.40, 153,773.10 and 81,779.40 is: 122,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.40 : 153,773.10 = 81,779.40 : x
  2. Step 2: Convert to fraction form
    102,515.40/153,773.10 = 81,779.40/x
  3. Step 3: Cross multiply
    102,515.40x = 153,773.10 × 81,779.40
  4. Step 4: Simplify right side
    102,515.40x = 12,575,471,854.14
  5. Step 5: Solve for x
    x = 12,575,471,854.14/102,515.40
  6. Step 6: Final answer
    x = 122,669.10

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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.