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Finding the Fourth Proportional to 189,272.88, 283,909.32 and 49,031.52

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Solution

The fourth proportional to 189,272.88, 283,909.32 and 49,031.52 is: 73,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,272.88 : 283,909.32 = 49,031.52 : x
  2. Step 2: Convert to fraction form
    189,272.88/283,909.32 = 49,031.52/x
  3. Step 3: Cross multiply
    189,272.88x = 283,909.32 × 49,031.52
  4. Step 4: Simplify right side
    189,272.88x = 13,920,505,501.77
  5. Step 5: Solve for x
    x = 13,920,505,501.77/189,272.88
  6. Step 6: Final answer
    x = 73,547.28

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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.