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Finding the Fourth Proportional to 162,578.63, 224,282.72 and 105,236.40

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Solution

The fourth proportional to 162,578.63, 224,282.72 and 105,236.40 is: 145,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,578.63 : 224,282.72 = 105,236.40 : x
  2. Step 2: Convert to fraction form
    162,578.63/224,282.72 = 105,236.40/x
  3. Step 3: Cross multiply
    162,578.63x = 224,282.72 × 105,236.40
  4. Step 4: Simplify right side
    162,578.63x = 23,602,705,508.83
  5. Step 5: Solve for x
    x = 23,602,705,508.83/162,578.63
  6. Step 6: Final answer
    x = 145,177.18

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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.