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Finding the Fourth Proportional to 307,663.16, 461,543.54 and 130,171.50

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Solution

The fourth proportional to 307,663.16, 461,543.54 and 130,171.50 is: 195,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,663.16 : 461,543.54 = 130,171.50 : x
  2. Step 2: Convert to fraction form
    307,663.16/461,543.54 = 130,171.50/x
  3. Step 3: Cross multiply
    307,663.16x = 461,543.54 × 130,171.50
  4. Step 4: Simplify right side
    307,663.16x = 60,079,814,266.25
  5. Step 5: Solve for x
    x = 60,079,814,266.25/307,663.16
  6. Step 6: Final answer
    x = 195,277.90

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