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Finding the Fourth Proportional to 100,294.19, 138,421.22 and 64,011.29

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Solution

The fourth proportional to 100,294.19, 138,421.22 and 64,011.29 is: 88,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.19 : 138,421.22 = 64,011.29 : x
  2. Step 2: Convert to fraction form
    100,294.19/138,421.22 = 64,011.29/x
  3. Step 3: Cross multiply
    100,294.19x = 138,421.22 × 64,011.29
  4. Step 4: Simplify right side
    100,294.19x = 8,860,521,681.21
  5. Step 5: Solve for x
    x = 8,860,521,681.21/100,294.19
  6. Step 6: Final answer
    x = 88,345.32

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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.