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Finding the Fourth Proportional to 76,143, 105,076.02 and 42,150.74

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Solution

The fourth proportional to 76,143, 105,076.02 and 42,150.74 is: 58,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,143 : 105,076.02 = 42,150.74 : x
  2. Step 2: Convert to fraction form
    76,143/105,076.02 = 42,150.74/x
  3. Step 3: Cross multiply
    76,143x = 105,076.02 × 42,150.74
  4. Step 4: Simplify right side
    76,143x = 4,429,031,999.25
  5. Step 5: Solve for x
    x = 4,429,031,999.25/76,143
  6. Step 6: Final answer
    x = 58,167.29

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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.