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Finding the Fourth Proportional to 157,993.12, 218,033.94 and 94,319.02

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Solution

The fourth proportional to 157,993.12, 218,033.94 and 94,319.02 is: 130,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,993.12 : 218,033.94 = 94,319.02 : x
  2. Step 2: Convert to fraction form
    157,993.12/218,033.94 = 94,319.02/x
  3. Step 3: Cross multiply
    157,993.12x = 218,033.94 × 94,319.02
  4. Step 4: Simplify right side
    157,993.12x = 20,564,747,547.54
  5. Step 5: Solve for x
    x = 20,564,747,547.54/157,993.12
  6. Step 6: Final answer
    x = 130,162.30

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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.