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Finding the Fourth Proportional to 223,089.92, 334,678.40 and 65,320.96

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Solution

The fourth proportional to 223,089.92, 334,678.40 and 65,320.96 is: 97,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,089.92 : 334,678.40 = 65,320.96 : x
  2. Step 2: Convert to fraction form
    223,089.92/334,678.40 = 65,320.96/x
  3. Step 3: Cross multiply
    223,089.92x = 334,678.40 × 65,320.96
  4. Step 4: Simplify right side
    223,089.92x = 21,861,514,379.26
  5. Step 5: Solve for x
    x = 21,861,514,379.26/223,089.92
  6. Step 6: Final answer
    x = 97,994.18

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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.