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Finding the Fourth Proportional to 205,698.12, 283,779.84 and 134,052

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Solution

The fourth proportional to 205,698.12, 283,779.84 and 134,052 is: 184,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,698.12 : 283,779.84 = 134,052 : x
  2. Step 2: Convert to fraction form
    205,698.12/283,779.84 = 134,052/x
  3. Step 3: Cross multiply
    205,698.12x = 283,779.84 × 134,052
  4. Step 4: Simplify right side
    205,698.12x = 38,041,255,111.68
  5. Step 5: Solve for x
    x = 38,041,255,111.68/205,698.12
  6. Step 6: Final answer
    x = 184,937.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.