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Finding the Fourth Proportional to 116,424, 160,665.12 and 63,432

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Solution

The fourth proportional to 116,424, 160,665.12 and 63,432 is: 87,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,424 : 160,665.12 = 63,432 : x
  2. Step 2: Convert to fraction form
    116,424/160,665.12 = 63,432/x
  3. Step 3: Cross multiply
    116,424x = 160,665.12 × 63,432
  4. Step 4: Simplify right side
    116,424x = 10,191,309,891.84
  5. Step 5: Solve for x
    x = 10,191,309,891.84/116,424
  6. Step 6: Final answer
    x = 87,536.16

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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.