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Finding the Fourth Proportional to 238,286.80, 357,430.20 and 120,188.80

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Solution

The fourth proportional to 238,286.80, 357,430.20 and 120,188.80 is: 180,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,286.80 : 357,430.20 = 120,188.80 : x
  2. Step 2: Convert to fraction form
    238,286.80/357,430.20 = 120,188.80/x
  3. Step 3: Cross multiply
    238,286.80x = 357,430.20 × 120,188.80
  4. Step 4: Simplify right side
    238,286.80x = 42,959,106,821.76
  5. Step 5: Solve for x
    x = 42,959,106,821.76/238,286.80
  6. Step 6: Final answer
    x = 180,283.20

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1.5x scale

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.