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Finding the Fourth Proportional to 343,189.20, 514,852.56 and 118,557.84

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Solution

The fourth proportional to 343,189.20, 514,852.56 and 118,557.84 is: 177,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,189.20 : 514,852.56 = 118,557.84 : x
  2. Step 2: Convert to fraction form
    343,189.20/514,852.56 = 118,557.84/x
  3. Step 3: Cross multiply
    343,189.20x = 514,852.56 × 118,557.84
  4. Step 4: Simplify right side
    343,189.20x = 61,039,807,432.07
  5. Step 5: Solve for x
    x = 61,039,807,432.07/343,189.20
  6. Step 6: Final answer
    x = 177,860.51

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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.