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Finding the Fourth Proportional to 223,088.28, 334,607.94 and 65,318.28

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Solution

The fourth proportional to 223,088.28, 334,607.94 and 65,318.28 is: 97,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,088.28 : 334,607.94 = 65,318.28 : x
  2. Step 2: Convert to fraction form
    223,088.28/334,607.94 = 65,318.28/x
  3. Step 3: Cross multiply
    223,088.28x = 334,607.94 × 65,318.28
  4. Step 4: Simplify right side
    223,088.28x = 21,856,015,115.14
  5. Step 5: Solve for x
    x = 21,856,015,115.14/223,088.28
  6. Step 6: Final answer
    x = 97,970.25

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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.