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Finding the Fourth Proportional to 223,315.56, 334,975.62 and 65,547

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Solution

The fourth proportional to 223,315.56, 334,975.62 and 65,547 is: 98,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,315.56 : 334,975.62 = 65,547 : x
  2. Step 2: Convert to fraction form
    223,315.56/334,975.62 = 65,547/x
  3. Step 3: Cross multiply
    223,315.56x = 334,975.62 × 65,547
  4. Step 4: Simplify right side
    223,315.56x = 21,956,646,964.14
  5. Step 5: Solve for x
    x = 21,956,646,964.14/223,315.56
  6. Step 6: Final answer
    x = 98,321.17

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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.