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Finding the Fourth Proportional to 162,954.86, 224,457.06 and 115,125.16

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Solution

The fourth proportional to 162,954.86, 224,457.06 and 115,125.16 is: 158,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,954.86 : 224,457.06 = 115,125.16 : x
  2. Step 2: Convert to fraction form
    162,954.86/224,457.06 = 115,125.16/x
  3. Step 3: Cross multiply
    162,954.86x = 224,457.06 × 115,125.16
  4. Step 4: Simplify right side
    162,954.86x = 25,840,654,945.63
  5. Step 5: Solve for x
    x = 25,840,654,945.63/162,954.86
  6. Step 6: Final answer
    x = 158,575.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.