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Finding the Fourth Proportional to 98,329.61, 147,382.89 and 86,460.47

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Solution

The fourth proportional to 98,329.61, 147,382.89 and 86,460.47 is: 129,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,329.61 : 147,382.89 = 86,460.47 : x
  2. Step 2: Convert to fraction form
    98,329.61/147,382.89 = 86,460.47/x
  3. Step 3: Cross multiply
    98,329.61x = 147,382.89 × 86,460.47
  4. Step 4: Simplify right side
    98,329.61x = 12,742,793,939.36
  5. Step 5: Solve for x
    x = 12,742,793,939.36/98,329.61
  6. Step 6: Final answer
    x = 129,592.64

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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.