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Finding the Fourth Proportional to 114,393.16, 157,725.30 and 98,450.20

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Solution

The fourth proportional to 114,393.16, 157,725.30 and 98,450.20 is: 135,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,393.16 : 157,725.30 = 98,450.20 : x
  2. Step 2: Convert to fraction form
    114,393.16/157,725.30 = 98,450.20/x
  3. Step 3: Cross multiply
    114,393.16x = 157,725.30 × 98,450.20
  4. Step 4: Simplify right side
    114,393.16x = 15,528,087,330.06
  5. Step 5: Solve for x
    x = 15,528,087,330.06/114,393.16
  6. Step 6: Final answer
    x = 135,743.15

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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.