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Finding the Fourth Proportional to 223,407.91, 334,923.64 and 96,952.94

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Solution

The fourth proportional to 223,407.91, 334,923.64 and 96,952.94 is: 145,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,407.91 : 334,923.64 = 96,952.94 : x
  2. Step 2: Convert to fraction form
    223,407.91/334,923.64 = 96,952.94/x
  3. Step 3: Cross multiply
    223,407.91x = 334,923.64 × 96,952.94
  4. Step 4: Simplify right side
    223,407.91x = 32,471,829,898.88
  5. Step 5: Solve for x
    x = 32,471,829,898.88/223,407.91
  6. Step 6: Final answer
    x = 145,347.72

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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.