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Finding the Fourth Proportional to 343,128.96, 514,762.16 and 118,497.60

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Solution

The fourth proportional to 343,128.96, 514,762.16 and 118,497.60 is: 177,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,128.96 : 514,762.16 = 118,497.60 : x
  2. Step 2: Convert to fraction form
    343,128.96/514,762.16 = 118,497.60/x
  3. Step 3: Cross multiply
    343,128.96x = 514,762.16 × 118,497.60
  4. Step 4: Simplify right side
    343,128.96x = 60,998,079,938.33
  5. Step 5: Solve for x
    x = 60,998,079,938.33/343,128.96
  6. Step 6: Final answer
    x = 177,770.13

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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.