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Finding the Fourth Proportional to 253,625.32, 380,015.58 and 164,767.72

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Solution

The fourth proportional to 253,625.32, 380,015.58 and 164,767.72 is: 246,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,625.32 : 380,015.58 = 164,767.72 : x
  2. Step 2: Convert to fraction form
    253,625.32/380,015.58 = 164,767.72/x
  3. Step 3: Cross multiply
    253,625.32x = 380,015.58 × 164,767.72
  4. Step 4: Simplify right side
    253,625.32x = 62,614,300,681.08
  5. Step 5: Solve for x
    x = 62,614,300,681.08/253,625.32
  6. Step 6: Final answer
    x = 246,877.17

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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.