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Finding the Fourth Proportional to 137,075.10, 205,612.65 and 81,779.10

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Solution

The fourth proportional to 137,075.10, 205,612.65 and 81,779.10 is: 122,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,075.10 : 205,612.65 = 81,779.10 : x
  2. Step 2: Convert to fraction form
    137,075.10/205,612.65 = 81,779.10/x
  3. Step 3: Cross multiply
    137,075.10x = 205,612.65 × 81,779.10
  4. Step 4: Simplify right side
    137,075.10x = 16,814,817,465.62
  5. Step 5: Solve for x
    x = 16,814,817,465.62/137,075.10
  6. Step 6: Final answer
    x = 122,668.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.