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Finding the Fourth Proportional to 316,056.84, 436,122.72 and 186,999.27

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Solution

The fourth proportional to 316,056.84, 436,122.72 and 186,999.27 is: 258,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,056.84 : 436,122.72 = 186,999.27 : x
  2. Step 2: Convert to fraction form
    316,056.84/436,122.72 = 186,999.27/x
  3. Step 3: Cross multiply
    316,056.84x = 436,122.72 × 186,999.27
  4. Step 4: Simplify right side
    316,056.84x = 81,554,630,270.41
  5. Step 5: Solve for x
    x = 81,554,630,270.41/316,056.84
  6. Step 6: Final answer
    x = 258,037.86

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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.