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Finding the Fourth Proportional to 119,070.57, 164,325.60 and 78,714.35

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Solution

The fourth proportional to 119,070.57, 164,325.60 and 78,714.35 is: 108,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070.57 : 164,325.60 = 78,714.35 : x
  2. Step 2: Convert to fraction form
    119,070.57/164,325.60 = 78,714.35/x
  3. Step 3: Cross multiply
    119,070.57x = 164,325.60 × 78,714.35
  4. Step 4: Simplify right side
    119,070.57x = 12,934,781,970.73
  5. Step 5: Solve for x
    x = 12,934,781,970.73/119,070.57
  6. Step 6: Final answer
    x = 108,631.23

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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.