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Finding the Fourth Proportional to 238,231.84, 328,913.82 and 147,684.16

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Solution

The fourth proportional to 238,231.84, 328,913.82 and 147,684.16 is: 203,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,231.84 : 328,913.82 = 147,684.16 : x
  2. Step 2: Convert to fraction form
    238,231.84/328,913.82 = 147,684.16/x
  3. Step 3: Cross multiply
    238,231.84x = 328,913.82 × 147,684.16
  4. Step 4: Simplify right side
    238,231.84x = 48,575,361,219.09
  5. Step 5: Solve for x
    x = 48,575,361,219.09/238,231.84
  6. Step 6: Final answer
    x = 203,899.53

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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.