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Finding the Fourth Proportional to 162,483.63, 243,655.74 and 55,878.32

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Solution

The fourth proportional to 162,483.63, 243,655.74 and 55,878.32 is: 83,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,483.63 : 243,655.74 = 55,878.32 : x
  2. Step 2: Convert to fraction form
    162,483.63/243,655.74 = 55,878.32/x
  3. Step 3: Cross multiply
    162,483.63x = 243,655.74 × 55,878.32
  4. Step 4: Simplify right side
    162,483.63x = 13,615,073,409.56
  5. Step 5: Solve for x
    x = 13,615,073,409.56/162,483.63
  6. Step 6: Final answer
    x = 83,793.51

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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.