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Finding the Fourth Proportional to 223,312.56, 334,971.12 and 65,544

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Solution

The fourth proportional to 223,312.56, 334,971.12 and 65,544 is: 98,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,312.56 : 334,971.12 = 65,544 : x
  2. Step 2: Convert to fraction form
    223,312.56/334,971.12 = 65,544/x
  3. Step 3: Cross multiply
    223,312.56x = 334,971.12 × 65,544
  4. Step 4: Simplify right side
    223,312.56x = 21,955,347,089.28
  5. Step 5: Solve for x
    x = 21,955,347,089.28/223,312.56
  6. Step 6: Final answer
    x = 98,316.67

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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.