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Finding the Fourth Proportional to 272,777.40, 409,166.10 and 154,679.40

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Solution

The fourth proportional to 272,777.40, 409,166.10 and 154,679.40 is: 232,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,777.40 : 409,166.10 = 154,679.40 : x
  2. Step 2: Convert to fraction form
    272,777.40/409,166.10 = 154,679.40/x
  3. Step 3: Cross multiply
    272,777.40x = 409,166.10 × 154,679.40
  4. Step 4: Simplify right side
    272,777.40x = 63,289,566,848.34
  5. Step 5: Solve for x
    x = 63,289,566,848.34/272,777.40
  6. Step 6: Final answer
    x = 232,019.10

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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.