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Finding the Fourth Proportional to 257,164.65, 354,929.27 and 153,792.09

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Solution

The fourth proportional to 257,164.65, 354,929.27 and 153,792.09 is: 212,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.65 : 354,929.27 = 153,792.09 : x
  2. Step 2: Convert to fraction form
    257,164.65/354,929.27 = 153,792.09/x
  3. Step 3: Cross multiply
    257,164.65x = 354,929.27 × 153,792.09
  4. Step 4: Simplify right side
    257,164.65x = 54,585,313,466.51
  5. Step 5: Solve for x
    x = 54,585,313,466.51/257,164.65
  6. Step 6: Final answer
    x = 212,258.23

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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.