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Finding the Fourth Proportional to 154,912, 232,274.26 and 69,507.20

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Solution

The fourth proportional to 154,912, 232,274.26 and 69,507.20 is: 104,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,912 : 232,274.26 = 69,507.20 : x
  2. Step 2: Convert to fraction form
    154,912/232,274.26 = 69,507.20/x
  3. Step 3: Cross multiply
    154,912x = 232,274.26 × 69,507.20
  4. Step 4: Simplify right side
    154,912x = 16,144,733,444.67
  5. Step 5: Solve for x
    x = 16,144,733,444.67/154,912
  6. Step 6: Final answer
    x = 104,218.74

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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.