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Finding the Fourth Proportional to 334,178.64, 501,259.64 and 97,523.37

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Solution

The fourth proportional to 334,178.64, 501,259.64 and 97,523.37 is: 146,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,178.64 : 501,259.64 = 97,523.37 : x
  2. Step 2: Convert to fraction form
    334,178.64/501,259.64 = 97,523.37/x
  3. Step 3: Cross multiply
    334,178.64x = 501,259.64 × 97,523.37
  4. Step 4: Simplify right side
    334,178.64x = 48,884,528,850.17
  5. Step 5: Solve for x
    x = 48,884,528,850.17/334,178.64
  6. Step 6: Final answer
    x = 146,282.63

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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.