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Finding the Fourth Proportional to 152,728.32, 210,286.08 and 138,731.52

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Solution

The fourth proportional to 152,728.32, 210,286.08 and 138,731.52 is: 191,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,728.32 : 210,286.08 = 138,731.52 : x
  2. Step 2: Convert to fraction form
    152,728.32/210,286.08 = 138,731.52/x
  3. Step 3: Cross multiply
    152,728.32x = 210,286.08 × 138,731.52
  4. Step 4: Simplify right side
    152,728.32x = 29,173,307,513.24
  5. Step 5: Solve for x
    x = 29,173,307,513.24/152,728.32
  6. Step 6: Final answer
    x = 191,014.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.