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Finding the Fourth Proportional to 162,495.52, 243,742.80 and 57,289.12

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Solution

The fourth proportional to 162,495.52, 243,742.80 and 57,289.12 is: 85,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,495.52 : 243,742.80 = 57,289.12 : x
  2. Step 2: Convert to fraction form
    162,495.52/243,742.80 = 57,289.12/x
  3. Step 3: Cross multiply
    162,495.52x = 243,742.80 × 57,289.12
  4. Step 4: Simplify right side
    162,495.52x = 13,963,810,518.34
  5. Step 5: Solve for x
    x = 13,963,810,518.34/162,495.52
  6. Step 6: Final answer
    x = 85,933.51

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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.