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Finding the Fourth Proportional to 305,836.16, 458,904.54 and 137,475.44

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Solution

The fourth proportional to 305,836.16, 458,904.54 and 137,475.44 is: 206,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,836.16 : 458,904.54 = 137,475.44 : x
  2. Step 2: Convert to fraction form
    305,836.16/458,904.54 = 137,475.44/x
  3. Step 3: Cross multiply
    305,836.16x = 458,904.54 × 137,475.44
  4. Step 4: Simplify right side
    305,836.16x = 63,088,103,554.50
  5. Step 5: Solve for x
    x = 63,088,103,554.50/305,836.16
  6. Step 6: Final answer
    x = 206,280.72

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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.