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Finding the Fourth Proportional to 101,741.67, 140,396.64 and 56,417.98

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Solution

The fourth proportional to 101,741.67, 140,396.64 and 56,417.98 is: 77,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,741.67 : 140,396.64 = 56,417.98 : x
  2. Step 2: Convert to fraction form
    101,741.67/140,396.64 = 56,417.98/x
  3. Step 3: Cross multiply
    101,741.67x = 140,396.64 × 56,417.98
  4. Step 4: Simplify right side
    101,741.67x = 7,920,894,827.59
  5. Step 5: Solve for x
    x = 7,920,894,827.59/101,741.67
  6. Step 6: Final answer
    x = 77,853.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.