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Finding the Fourth Proportional to 299,059.20, 448,718.40 and 141,206.40

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Solution

The fourth proportional to 299,059.20, 448,718.40 and 141,206.40 is: 211,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,059.20 : 448,718.40 = 141,206.40 : x
  2. Step 2: Convert to fraction form
    299,059.20/448,718.40 = 141,206.40/x
  3. Step 3: Cross multiply
    299,059.20x = 448,718.40 × 141,206.40
  4. Step 4: Simplify right side
    299,059.20x = 63,361,909,877.76
  5. Step 5: Solve for x
    x = 63,361,909,877.76/299,059.20
  6. Step 6: Final answer
    x = 211,870.79

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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.