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Finding the Fourth Proportional to 214,082.60, 295,337.76 and 160,369.88

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Solution

The fourth proportional to 214,082.60, 295,337.76 and 160,369.88 is: 221,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,082.60 : 295,337.76 = 160,369.88 : x
  2. Step 2: Convert to fraction form
    214,082.60/295,337.76 = 160,369.88/x
  3. Step 3: Cross multiply
    214,082.60x = 295,337.76 × 160,369.88
  4. Step 4: Simplify right side
    214,082.60x = 47,363,281,130.67
  5. Step 5: Solve for x
    x = 47,363,281,130.67/214,082.60
  6. Step 6: Final answer
    x = 221,238.35

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