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Finding the Fourth Proportional to 307,288.97, 460,987.96 and 94,052.16

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Solution

The fourth proportional to 307,288.97, 460,987.96 and 94,052.16 is: 141,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,288.97 : 460,987.96 = 94,052.16 : x
  2. Step 2: Convert to fraction form
    307,288.97/460,987.96 = 94,052.16/x
  3. Step 3: Cross multiply
    307,288.97x = 460,987.96 × 94,052.16
  4. Step 4: Simplify right side
    307,288.97x = 43,356,914,609.74
  5. Step 5: Solve for x
    x = 43,356,914,609.74/307,288.97
  6. Step 6: Final answer
    x = 141,094.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.