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Finding the Fourth Proportional to 109,221.14, 163,853.58 and 34,360.13

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Solution

The fourth proportional to 109,221.14, 163,853.58 and 34,360.13 is: 51,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,221.14 : 163,853.58 = 34,360.13 : x
  2. Step 2: Convert to fraction form
    109,221.14/163,853.58 = 34,360.13/x
  3. Step 3: Cross multiply
    109,221.14x = 163,853.58 × 34,360.13
  4. Step 4: Simplify right side
    109,221.14x = 5,630,029,490.50
  5. Step 5: Solve for x
    x = 5,630,029,490.50/109,221.14
  6. Step 6: Final answer
    x = 51,547.07

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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.