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Finding the Fourth Proportional to 145,266.64, 200,446.14 and 81,592.24

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Solution

The fourth proportional to 145,266.64, 200,446.14 and 81,592.24 is: 112,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,266.64 : 200,446.14 = 81,592.24 : x
  2. Step 2: Convert to fraction form
    145,266.64/200,446.14 = 81,592.24/x
  3. Step 3: Cross multiply
    145,266.64x = 200,446.14 × 81,592.24
  4. Step 4: Simplify right side
    145,266.64x = 16,354,849,561.95
  5. Step 5: Solve for x
    x = 16,354,849,561.95/145,266.64
  6. Step 6: Final answer
    x = 112,585.03

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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.