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Finding the Fourth Proportional to 150,292.16, 207,407.52 and 83,224.16

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Solution

The fourth proportional to 150,292.16, 207,407.52 and 83,224.16 is: 114,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,292.16 : 207,407.52 = 83,224.16 : x
  2. Step 2: Convert to fraction form
    150,292.16/207,407.52 = 83,224.16/x
  3. Step 3: Cross multiply
    150,292.16x = 207,407.52 × 83,224.16
  4. Step 4: Simplify right side
    150,292.16x = 17,261,316,629.68
  5. Step 5: Solve for x
    x = 17,261,316,629.68/150,292.16
  6. Step 6: Final answer
    x = 114,851.74

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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.