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Finding the Fourth Proportional to 162,157.83, 243,347.47 and 56,976.81

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Solution

The fourth proportional to 162,157.83, 243,347.47 and 56,976.81 is: 85,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,157.83 : 243,347.47 = 56,976.81 : x
  2. Step 2: Convert to fraction form
    162,157.83/243,347.47 = 56,976.81/x
  3. Step 3: Cross multiply
    162,157.83x = 243,347.47 × 56,976.81
  4. Step 4: Simplify right side
    162,157.83x = 13,865,162,562.17
  5. Step 5: Solve for x
    x = 13,865,162,562.17/162,157.83
  6. Step 6: Final answer
    x = 85,504.12

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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.