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Finding the Fourth Proportional to 611,096.64, 916,539.28 and 161,823.96

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Solution

The fourth proportional to 611,096.64, 916,539.28 and 161,823.96 is: 242,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,096.64 : 916,539.28 = 161,823.96 : x
  2. Step 2: Convert to fraction form
    611,096.64/916,539.28 = 161,823.96/x
  3. Step 3: Cross multiply
    611,096.64x = 916,539.28 × 161,823.96
  4. Step 4: Simplify right side
    611,096.64x = 148,318,015,785.15
  5. Step 5: Solve for x
    x = 148,318,015,785.15/611,096.64
  6. Step 6: Final answer
    x = 242,707.95

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Why These Related Problems?

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