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Finding the Fourth Proportional to 108,585.40, 162,878.10 and 82,341.40

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Solution

The fourth proportional to 108,585.40, 162,878.10 and 82,341.40 is: 123,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,585.40 : 162,878.10 = 82,341.40 : x
  2. Step 2: Convert to fraction form
    108,585.40/162,878.10 = 82,341.40/x
  3. Step 3: Cross multiply
    108,585.40x = 162,878.10 × 82,341.40
  4. Step 4: Simplify right side
    108,585.40x = 13,411,610,783.34
  5. Step 5: Solve for x
    x = 13,411,610,783.34/108,585.40
  6. Step 6: Final answer
    x = 123,512.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.