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Finding the Fourth Proportional to 162,471.96, 224,151.48 and 97,955.28

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Solution

The fourth proportional to 162,471.96, 224,151.48 and 97,955.28 is: 135,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,471.96 : 224,151.48 = 97,955.28 : x
  2. Step 2: Convert to fraction form
    162,471.96/224,151.48 = 97,955.28/x
  3. Step 3: Cross multiply
    162,471.96x = 224,151.48 × 97,955.28
  4. Step 4: Simplify right side
    162,471.96x = 21,956,820,985.81
  5. Step 5: Solve for x
    x = 21,956,820,985.81/162,471.96
  6. Step 6: Final answer
    x = 135,142.22

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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.