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Finding the Fourth Proportional to 227,682.84, 314,173.34 and 127,085.08

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Solution

The fourth proportional to 227,682.84, 314,173.34 and 127,085.08 is: 175,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,682.84 : 314,173.34 = 127,085.08 : x
  2. Step 2: Convert to fraction form
    227,682.84/314,173.34 = 127,085.08/x
  3. Step 3: Cross multiply
    227,682.84x = 314,173.34 × 127,085.08
  4. Step 4: Simplify right side
    227,682.84x = 39,926,744,047.77
  5. Step 5: Solve for x
    x = 39,926,744,047.77/227,682.84
  6. Step 6: Final answer
    x = 175,361.24

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1.5x scale

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.