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Finding the Fourth Proportional to 272,054.90, 408,082.35 and 188,074.10

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Solution

The fourth proportional to 272,054.90, 408,082.35 and 188,074.10 is: 282,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,054.90 : 408,082.35 = 188,074.10 : x
  2. Step 2: Convert to fraction form
    272,054.90/408,082.35 = 188,074.10/x
  3. Step 3: Cross multiply
    272,054.90x = 408,082.35 × 188,074.10
  4. Step 4: Simplify right side
    272,054.90x = 76,749,720,702.14
  5. Step 5: Solve for x
    x = 76,749,720,702.14/272,054.90
  6. Step 6: Final answer
    x = 282,111.15

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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.