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Finding the Fourth Proportional to 214,116.37, 295,492.96 and 117,320.40

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Solution

The fourth proportional to 214,116.37, 295,492.96 and 117,320.40 is: 161,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,116.37 : 295,492.96 = 117,320.40 : x
  2. Step 2: Convert to fraction form
    214,116.37/295,492.96 = 117,320.40/x
  3. Step 3: Cross multiply
    214,116.37x = 295,492.96 × 117,320.40
  4. Step 4: Simplify right side
    214,116.37x = 34,667,352,264.38
  5. Step 5: Solve for x
    x = 34,667,352,264.38/214,116.37
  6. Step 6: Final answer
    x = 161,908.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.