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Finding the Fourth Proportional to 265,684.71, 398,613.23 and 159,052.06

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Solution

The fourth proportional to 265,684.71, 398,613.23 and 159,052.06 is: 238,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,684.71 : 398,613.23 = 159,052.06 : x
  2. Step 2: Convert to fraction form
    265,684.71/398,613.23 = 159,052.06/x
  3. Step 3: Cross multiply
    265,684.71x = 398,613.23 × 159,052.06
  4. Step 4: Simplify right side
    265,684.71x = 63,400,255,374.75
  5. Step 5: Solve for x
    x = 63,400,255,374.75/265,684.71
  6. Step 6: Final answer
    x = 238,629.67

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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.