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Finding the Fourth Proportional to 223,083.64, 334,590.82 and 73,322.94

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Solution

The fourth proportional to 223,083.64, 334,590.82 and 73,322.94 is: 109,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,083.64 : 334,590.82 = 73,322.94 : x
  2. Step 2: Convert to fraction form
    223,083.64/334,590.82 = 73,322.94/x
  3. Step 3: Cross multiply
    223,083.64x = 334,590.82 × 73,322.94
  4. Step 4: Simplify right side
    223,083.64x = 24,533,182,619.41
  5. Step 5: Solve for x
    x = 24,533,182,619.41/223,083.64
  6. Step 6: Final answer
    x = 109,973.02

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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.