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Finding the Fourth Proportional to 233,147.10, 349,720.65 and 206,903.10

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Solution

The fourth proportional to 233,147.10, 349,720.65 and 206,903.10 is: 310,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.10 : 349,720.65 = 206,903.10 : x
  2. Step 2: Convert to fraction form
    233,147.10/349,720.65 = 206,903.10/x
  3. Step 3: Cross multiply
    233,147.10x = 349,720.65 × 206,903.10
  4. Step 4: Simplify right side
    233,147.10x = 72,358,286,619.02
  5. Step 5: Solve for x
    x = 72,358,286,619.02/233,147.10
  6. Step 6: Final answer
    x = 310,354.65

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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.