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Finding the Fourth Proportional to 136,030, 204,056.76 and 37,534

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Solution

The fourth proportional to 136,030, 204,056.76 and 37,534 is: 56,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,030 : 204,056.76 = 37,534 : x
  2. Step 2: Convert to fraction form
    136,030/204,056.76 = 37,534/x
  3. Step 3: Cross multiply
    136,030x = 204,056.76 × 37,534
  4. Step 4: Simplify right side
    136,030x = 7,659,066,429.84
  5. Step 5: Solve for x
    x = 7,659,066,429.84/136,030
  6. Step 6: Final answer
    x = 56,304.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.