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Finding the Fourth Proportional to 213,742.08, 294,926.40 and 145,814.40

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Solution

The fourth proportional to 213,742.08, 294,926.40 and 145,814.40 is: 201,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,742.08 : 294,926.40 = 145,814.40 : x
  2. Step 2: Convert to fraction form
    213,742.08/294,926.40 = 145,814.40/x
  3. Step 3: Cross multiply
    213,742.08x = 294,926.40 × 145,814.40
  4. Step 4: Simplify right side
    213,742.08x = 43,004,516,060.16
  5. Step 5: Solve for x
    x = 43,004,516,060.16/213,742.08
  6. Step 6: Final answer
    x = 201,198.17

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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.