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Finding the Fourth Proportional to 259,438.06, 358,024.08 and 146,260.81

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Solution

The fourth proportional to 259,438.06, 358,024.08 and 146,260.81 is: 201,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,438.06 : 358,024.08 = 146,260.81 : x
  2. Step 2: Convert to fraction form
    259,438.06/358,024.08 = 146,260.81/x
  3. Step 3: Cross multiply
    259,438.06x = 358,024.08 × 146,260.81
  4. Step 4: Simplify right side
    259,438.06x = 52,364,891,940.30
  5. Step 5: Solve for x
    x = 52,364,891,940.30/259,438.06
  6. Step 6: Final answer
    x = 201,839.67

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1.5x scale

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.