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Finding the Fourth Proportional to 264,742.80, 397,114.20 and 152,768.40

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Solution

The fourth proportional to 264,742.80, 397,114.20 and 152,768.40 is: 229,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,742.80 : 397,114.20 = 152,768.40 : x
  2. Step 2: Convert to fraction form
    264,742.80/397,114.20 = 152,768.40/x
  3. Step 3: Cross multiply
    264,742.80x = 397,114.20 × 152,768.40
  4. Step 4: Simplify right side
    264,742.80x = 60,666,500,951.28
  5. Step 5: Solve for x
    x = 60,666,500,951.28/264,742.80
  6. Step 6: Final answer
    x = 229,152.60

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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.