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Finding the Fourth Proportional to 146,503.98, 219,764.48 and 56,547.21

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Solution

The fourth proportional to 146,503.98, 219,764.48 and 56,547.21 is: 84,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,503.98 : 219,764.48 = 56,547.21 : x
  2. Step 2: Convert to fraction form
    146,503.98/219,764.48 = 56,547.21/x
  3. Step 3: Cross multiply
    146,503.98x = 219,764.48 × 56,547.21
  4. Step 4: Simplify right side
    146,503.98x = 12,427,067,421.59
  5. Step 5: Solve for x
    x = 12,427,067,421.59/146,503.98
  6. Step 6: Final answer
    x = 84,824.09

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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.