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Finding the Fourth Proportional to 100,294.34, 138,421.43 and 64,011.44

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Solution

The fourth proportional to 100,294.34, 138,421.43 and 64,011.44 is: 88,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.34 : 138,421.43 = 64,011.44 : x
  2. Step 2: Convert to fraction form
    100,294.34/138,421.43 = 64,011.44/x
  3. Step 3: Cross multiply
    100,294.34x = 138,421.43 × 64,011.44
  4. Step 4: Simplify right side
    100,294.34x = 8,860,554,048.99
  5. Step 5: Solve for x
    x = 8,860,554,048.99/100,294.34
  6. Step 6: Final answer
    x = 88,345.51

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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.