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Finding the Fourth Proportional to 157,453, 217,290.38 and 93,782.14

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Solution

The fourth proportional to 157,453, 217,290.38 and 93,782.14 is: 129,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,453 : 217,290.38 = 93,782.14 : x
  2. Step 2: Convert to fraction form
    157,453/217,290.38 = 93,782.14/x
  3. Step 3: Cross multiply
    157,453x = 217,290.38 × 93,782.14
  4. Step 4: Simplify right side
    157,453x = 20,377,956,837.81
  5. Step 5: Solve for x
    x = 20,377,956,837.81/157,453
  6. Step 6: Final answer
    x = 129,422.47

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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.