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Finding the Fourth Proportional to 243,541, 365,420.94 and 154,771.48

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Solution

The fourth proportional to 243,541, 365,420.94 and 154,771.48 is: 232,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,541 : 365,420.94 = 154,771.48 : x
  2. Step 2: Convert to fraction form
    243,541/365,420.94 = 154,771.48/x
  3. Step 3: Cross multiply
    243,541x = 365,420.94 × 154,771.48
  4. Step 4: Simplify right side
    243,541x = 56,556,739,706.79
  5. Step 5: Solve for x
    x = 56,556,739,706.79/243,541
  6. Step 6: Final answer
    x = 232,226.77

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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.