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Finding the Fourth Proportional to 162,082.32, 243,230.16 and 56,898.48

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Solution

The fourth proportional to 162,082.32, 243,230.16 and 56,898.48 is: 85,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,082.32 : 243,230.16 = 56,898.48 : x
  2. Step 2: Convert to fraction form
    162,082.32/243,230.16 = 56,898.48/x
  3. Step 3: Cross multiply
    162,082.32x = 243,230.16 × 56,898.48
  4. Step 4: Simplify right side
    162,082.32x = 13,839,426,394.16
  5. Step 5: Solve for x
    x = 13,839,426,394.16/162,082.32
  6. Step 6: Final answer
    x = 85,385.17

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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.