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Finding the Fourth Proportional to 209,549.42, 289,184.34 and 114,062.30

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Solution

The fourth proportional to 209,549.42, 289,184.34 and 114,062.30 is: 157,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,549.42 : 289,184.34 = 114,062.30 : x
  2. Step 2: Convert to fraction form
    209,549.42/289,184.34 = 114,062.30/x
  3. Step 3: Cross multiply
    209,549.42x = 289,184.34 × 114,062.30
  4. Step 4: Simplify right side
    209,549.42x = 32,985,030,944.38
  5. Step 5: Solve for x
    x = 32,985,030,944.38/209,549.42
  6. Step 6: Final answer
    x = 157,409.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.