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Finding the Fourth Proportional to 525,097.06, 787,654.70 and 165,259.02

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Solution

The fourth proportional to 525,097.06, 787,654.70 and 165,259.02 is: 247,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,097.06 : 787,654.70 = 165,259.02 : x
  2. Step 2: Convert to fraction form
    525,097.06/787,654.70 = 165,259.02/x
  3. Step 3: Cross multiply
    525,097.06x = 787,654.70 × 165,259.02
  4. Step 4: Simplify right side
    525,097.06x = 130,167,043,820.39
  5. Step 5: Solve for x
    x = 130,167,043,820.39/525,097.06
  6. Step 6: Final answer
    x = 247,891.40

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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.