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Finding the Fourth Proportional to 162,171.30, 243,256.95 and 83,235.18

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Solution

The fourth proportional to 162,171.30, 243,256.95 and 83,235.18 is: 124,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,171.30 : 243,256.95 = 83,235.18 : x
  2. Step 2: Convert to fraction form
    162,171.30/243,256.95 = 83,235.18/x
  3. Step 3: Cross multiply
    162,171.30x = 243,256.95 × 83,235.18
  4. Step 4: Simplify right side
    162,171.30x = 20,247,536,019.50
  5. Step 5: Solve for x
    x = 20,247,536,019.50/162,171.30
  6. Step 6: Final answer
    x = 124,852.77

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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.