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Finding the Fourth Proportional to 238,232.16, 328,914.24 and 147,684.90

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Solution

The fourth proportional to 238,232.16, 328,914.24 and 147,684.90 is: 203,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,232.16 : 328,914.24 = 147,684.90 : x
  2. Step 2: Convert to fraction form
    238,232.16/328,914.24 = 147,684.90/x
  3. Step 3: Cross multiply
    238,232.16x = 328,914.24 × 147,684.90
  4. Step 4: Simplify right side
    238,232.16x = 48,575,666,642.98
  5. Step 5: Solve for x
    x = 48,575,666,642.98/238,232.16
  6. Step 6: Final answer
    x = 203,900.54

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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.