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Finding the Fourth Proportional to 297,089.44, 445,602.56 and 83,852.08

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Solution

The fourth proportional to 297,089.44, 445,602.56 and 83,852.08 is: 125,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,089.44 : 445,602.56 = 83,852.08 : x
  2. Step 2: Convert to fraction form
    297,089.44/445,602.56 = 83,852.08/x
  3. Step 3: Cross multiply
    297,089.44x = 445,602.56 × 83,852.08
  4. Step 4: Simplify right side
    297,089.44x = 37,364,701,509.32
  5. Step 5: Solve for x
    x = 37,364,701,509.32/297,089.44
  6. Step 6: Final answer
    x = 125,769.20

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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.