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Finding the Fourth Proportional to 162,419.56, 243,657.30 and 55,798.48

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Solution

The fourth proportional to 162,419.56, 243,657.30 and 55,798.48 is: 83,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,419.56 : 243,657.30 = 55,798.48 : x
  2. Step 2: Convert to fraction form
    162,419.56/243,657.30 = 55,798.48/x
  3. Step 3: Cross multiply
    162,419.56x = 243,657.30 × 55,798.48
  4. Step 4: Simplify right side
    162,419.56x = 13,595,706,980.90
  5. Step 5: Solve for x
    x = 13,595,706,980.90/162,419.56
  6. Step 6: Final answer
    x = 83,707.33

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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.