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Finding the Fourth Proportional to 156,674.90, 235,165.95 and 77,878.10

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Solution

The fourth proportional to 156,674.90, 235,165.95 and 77,878.10 is: 116,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,674.90 : 235,165.95 = 77,878.10 : x
  2. Step 2: Convert to fraction form
    156,674.90/235,165.95 = 77,878.10/x
  3. Step 3: Cross multiply
    156,674.90x = 235,165.95 × 77,878.10
  4. Step 4: Simplify right side
    156,674.90x = 18,314,277,370.70
  5. Step 5: Solve for x
    x = 18,314,277,370.70/156,674.90
  6. Step 6: Final answer
    x = 116,893.50

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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.