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Finding the Fourth Proportional to 496,109.89, 744,094.76 and 159,106.75

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Solution

The fourth proportional to 496,109.89, 744,094.76 and 159,106.75 is: 238,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,109.89 : 744,094.76 = 159,106.75 : x
  2. Step 2: Convert to fraction form
    496,109.89/744,094.76 = 159,106.75/x
  3. Step 3: Cross multiply
    496,109.89x = 744,094.76 × 159,106.75
  4. Step 4: Simplify right side
    496,109.89x = 118,390,498,955.63
  5. Step 5: Solve for x
    x = 118,390,498,955.63/496,109.89
  6. Step 6: Final answer
    x = 238,637.65

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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.