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Finding the Fourth Proportional to 115,426.16, 158,932.80 and 98,392.22

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Solution

The fourth proportional to 115,426.16, 158,932.80 and 98,392.22 is: 135,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,426.16 : 158,932.80 = 98,392.22 : x
  2. Step 2: Convert to fraction form
    115,426.16/158,932.80 = 98,392.22/x
  3. Step 3: Cross multiply
    115,426.16x = 158,932.80 × 98,392.22
  4. Step 4: Simplify right side
    115,426.16x = 15,637,751,022.82
  5. Step 5: Solve for x
    x = 15,637,751,022.82/115,426.16
  6. Step 6: Final answer
    x = 135,478.40

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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.