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Finding the Fourth Proportional to 260,382.22, 359,345.55 and 145,698.64

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Solution

The fourth proportional to 260,382.22, 359,345.55 and 145,698.64 is: 201,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,382.22 : 359,345.55 = 145,698.64 : x
  2. Step 2: Convert to fraction form
    260,382.22/359,345.55 = 145,698.64/x
  3. Step 3: Cross multiply
    260,382.22x = 359,345.55 × 145,698.64
  4. Step 4: Simplify right side
    260,382.22x = 52,356,157,925.05
  5. Step 5: Solve for x
    x = 52,356,157,925.05/260,382.22
  6. Step 6: Final answer
    x = 201,074.24

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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.