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Finding the Fourth Proportional to 162,534.32, 224,435.80 and 102,205.92

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Solution

The fourth proportional to 162,534.32, 224,435.80 and 102,205.92 is: 141,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,534.32 : 224,435.80 = 102,205.92 : x
  2. Step 2: Convert to fraction form
    162,534.32/224,435.80 = 102,205.92/x
  3. Step 3: Cross multiply
    162,534.32x = 224,435.80 × 102,205.92
  4. Step 4: Simplify right side
    162,534.32x = 22,938,667,419.94
  5. Step 5: Solve for x
    x = 22,938,667,419.94/162,534.32
  6. Step 6: Final answer
    x = 141,131.22

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