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Finding the Fourth Proportional to 145,586.32, 200,892.84 and 81,946

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Solution

The fourth proportional to 145,586.32, 200,892.84 and 81,946 is: 113,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,586.32 : 200,892.84 = 81,946 : x
  2. Step 2: Convert to fraction form
    145,586.32/200,892.84 = 81,946/x
  3. Step 3: Cross multiply
    145,586.32x = 200,892.84 × 81,946
  4. Step 4: Simplify right side
    145,586.32x = 16,462,364,666.64
  5. Step 5: Solve for x
    x = 16,462,364,666.64/145,586.32
  6. Step 6: Final answer
    x = 113,076.32

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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.