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Finding the Fourth Proportional to 325,707.16, 488,543.46 and 104,091.16

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Solution

The fourth proportional to 325,707.16, 488,543.46 and 104,091.16 is: 156,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,707.16 : 488,543.46 = 104,091.16 : x
  2. Step 2: Convert to fraction form
    325,707.16/488,543.46 = 104,091.16/x
  3. Step 3: Cross multiply
    325,707.16x = 488,543.46 × 104,091.16
  4. Step 4: Simplify right side
    325,707.16x = 50,853,055,461.81
  5. Step 5: Solve for x
    x = 50,853,055,461.81/325,707.16
  6. Step 6: Final answer
    x = 156,131.22

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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.