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Finding the Fourth Proportional to 223,328.84, 334,948.71 and 109,427.72

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Solution

The fourth proportional to 223,328.84, 334,948.71 and 109,427.72 is: 164,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,328.84 : 334,948.71 = 109,427.72 : x
  2. Step 2: Convert to fraction form
    223,328.84/334,948.71 = 109,427.72/x
  3. Step 3: Cross multiply
    223,328.84x = 334,948.71 × 109,427.72
  4. Step 4: Simplify right side
    223,328.84x = 36,652,673,652.24
  5. Step 5: Solve for x
    x = 36,652,673,652.24/223,328.84
  6. Step 6: Final answer
    x = 164,119.75

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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.