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Finding the Fourth Proportional to 145,066.91, 200,193.84 and 81,403.34

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Solution

The fourth proportional to 145,066.91, 200,193.84 and 81,403.34 is: 112,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,066.91 : 200,193.84 = 81,403.34 : x
  2. Step 2: Convert to fraction form
    145,066.91/200,193.84 = 81,403.34/x
  3. Step 3: Cross multiply
    145,066.91x = 200,193.84 × 81,403.34
  4. Step 4: Simplify right side
    145,066.91x = 16,296,447,223.43
  5. Step 5: Solve for x
    x = 16,296,447,223.43/145,066.91
  6. Step 6: Final answer
    x = 112,337.45

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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.