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Finding the Fourth Proportional to 140,904.96, 194,376.96 and 107,312.64

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Solution

The fourth proportional to 140,904.96, 194,376.96 and 107,312.64 is: 148,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904.96 : 194,376.96 = 107,312.64 : x
  2. Step 2: Convert to fraction form
    140,904.96/194,376.96 = 107,312.64/x
  3. Step 3: Cross multiply
    140,904.96x = 194,376.96 × 107,312.64
  4. Step 4: Simplify right side
    140,904.96x = 20,859,104,732.77
  5. Step 5: Solve for x
    x = 20,859,104,732.77/140,904.96
  6. Step 6: Final answer
    x = 148,036.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.