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Finding the Fourth Proportional to 140,119.47, 193,369.54 and 76,460.76

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Solution

The fourth proportional to 140,119.47, 193,369.54 and 76,460.76 is: 105,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,119.47 : 193,369.54 = 76,460.76 : x
  2. Step 2: Convert to fraction form
    140,119.47/193,369.54 = 76,460.76/x
  3. Step 3: Cross multiply
    140,119.47x = 193,369.54 × 76,460.76
  4. Step 4: Simplify right side
    140,119.47x = 14,785,182,809.96
  5. Step 5: Solve for x
    x = 14,785,182,809.96/140,119.47
  6. Step 6: Final answer
    x = 105,518.40

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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.