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Finding the Fourth Proportional to 461,739.96, 692,350.74 and 162,137.16

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Solution

The fourth proportional to 461,739.96, 692,350.74 and 162,137.16 is: 243,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,739.96 : 692,350.74 = 162,137.16 : x
  2. Step 2: Convert to fraction form
    461,739.96/692,350.74 = 162,137.16/x
  3. Step 3: Cross multiply
    461,739.96x = 692,350.74 × 162,137.16
  4. Step 4: Simplify right side
    461,739.96x = 112,255,782,707.50
  5. Step 5: Solve for x
    x = 112,255,782,707.50/461,739.96
  6. Step 6: Final answer
    x = 243,114.72

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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.