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Finding the Fourth Proportional to 517,094.16, 775,618.68 and 162,100.08

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Solution

The fourth proportional to 517,094.16, 775,618.68 and 162,100.08 is: 243,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,094.16 : 775,618.68 = 162,100.08 : x
  2. Step 2: Convert to fraction form
    517,094.16/775,618.68 = 162,100.08/x
  3. Step 3: Cross multiply
    517,094.16x = 775,618.68 × 162,100.08
  4. Step 4: Simplify right side
    517,094.16x = 125,727,850,077.49
  5. Step 5: Solve for x
    x = 125,727,850,077.49/517,094.16
  6. Step 6: Final answer
    x = 243,143.05

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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.