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Finding the Fourth Proportional to 145,284.68, 200,482.06 and 81,633.08

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Solution

The fourth proportional to 145,284.68, 200,482.06 and 81,633.08 is: 112,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,284.68 : 200,482.06 = 81,633.08 : x
  2. Step 2: Convert to fraction form
    145,284.68/200,482.06 = 81,633.08/x
  3. Step 3: Cross multiply
    145,284.68x = 200,482.06 × 81,633.08
  4. Step 4: Simplify right side
    145,284.68x = 16,365,968,042.54
  5. Step 5: Solve for x
    x = 16,365,968,042.54/145,284.68
  6. Step 6: Final answer
    x = 112,647.58

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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.