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Finding the Fourth Proportional to 272,026.10, 408,039.15 and 146,054.90

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Solution

The fourth proportional to 272,026.10, 408,039.15 and 146,054.90 is: 219,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,026.10 : 408,039.15 = 146,054.90 : x
  2. Step 2: Convert to fraction form
    272,026.10/408,039.15 = 146,054.90/x
  3. Step 3: Cross multiply
    272,026.10x = 408,039.15 × 146,054.90
  4. Step 4: Simplify right side
    272,026.10x = 59,596,117,249.34
  5. Step 5: Solve for x
    x = 59,596,117,249.34/272,026.10
  6. Step 6: Final answer
    x = 219,082.35

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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.