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Finding the Fourth Proportional to 98,327.61, 147,379.89 and 86,458.47

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Solution

The fourth proportional to 98,327.61, 147,379.89 and 86,458.47 is: 129,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,327.61 : 147,379.89 = 86,458.47 : x
  2. Step 2: Convert to fraction form
    98,327.61/147,379.89 = 86,458.47/x
  3. Step 3: Cross multiply
    98,327.61x = 147,379.89 × 86,458.47
  4. Step 4: Simplify right side
    98,327.61x = 12,742,239,798.17
  5. Step 5: Solve for x
    x = 12,742,239,798.17/98,327.61
  6. Step 6: Final answer
    x = 129,589.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.