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Finding the Fourth Proportional to 140,070.34, 193,298.46 and 76,409.47

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Solution

The fourth proportional to 140,070.34, 193,298.46 and 76,409.47 is: 105,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,070.34 : 193,298.46 = 76,409.47 : x
  2. Step 2: Convert to fraction form
    140,070.34/193,298.46 = 76,409.47/x
  3. Step 3: Cross multiply
    140,070.34x = 193,298.46 × 76,409.47
  4. Step 4: Simplify right side
    140,070.34x = 14,769,832,880.42
  5. Step 5: Solve for x
    x = 14,769,832,880.42/140,070.34
  6. Step 6: Final answer
    x = 105,445.83

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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.