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Finding the Fourth Proportional to 101,811.74, 140,507.91 and 56,498.30

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Solution

The fourth proportional to 101,811.74, 140,507.91 and 56,498.30 is: 77,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.74 : 140,507.91 = 56,498.30 : x
  2. Step 2: Convert to fraction form
    101,811.74/140,507.91 = 56,498.30/x
  3. Step 3: Cross multiply
    101,811.74x = 140,507.91 × 56,498.30
  4. Step 4: Simplify right side
    101,811.74x = 7,938,457,066.52
  5. Step 5: Solve for x
    x = 7,938,457,066.52/101,811.74
  6. Step 6: Final answer
    x = 77,971.92

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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.