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Finding the Fourth Proportional to 259,877.14, 358,626.62 and 145,157.38

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Solution

The fourth proportional to 259,877.14, 358,626.62 and 145,157.38 is: 200,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,877.14 : 358,626.62 = 145,157.38 : x
  2. Step 2: Convert to fraction form
    259,877.14/358,626.62 = 145,157.38/x
  3. Step 3: Cross multiply
    259,877.14x = 358,626.62 × 145,157.38
  4. Step 4: Simplify right side
    259,877.14x = 52,057,302,041.06
  5. Step 5: Solve for x
    x = 52,057,302,041.06/259,877.14
  6. Step 6: Final answer
    x = 200,315.05

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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.