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Finding the Fourth Proportional to 97,191.54, 134,157.87 and 56,918.25

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Solution

The fourth proportional to 97,191.54, 134,157.87 and 56,918.25 is: 78,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,191.54 : 134,157.87 = 56,918.25 : x
  2. Step 2: Convert to fraction form
    97,191.54/134,157.87 = 56,918.25/x
  3. Step 3: Cross multiply
    97,191.54x = 134,157.87 × 56,918.25
  4. Step 4: Simplify right side
    97,191.54x = 7,636,031,184.13
  5. Step 5: Solve for x
    x = 7,636,031,184.13/97,191.54
  6. Step 6: Final answer
    x = 78,566.83

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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.