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Finding the Fourth Proportional to 105,412.10, 145,511.98 and 71,467.08

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Solution

The fourth proportional to 105,412.10, 145,511.98 and 71,467.08 is: 98,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.10 : 145,511.98 = 71,467.08 : x
  2. Step 2: Convert to fraction form
    105,412.10/145,511.98 = 71,467.08/x
  3. Step 3: Cross multiply
    105,412.10x = 145,511.98 × 71,467.08
  4. Step 4: Simplify right side
    105,412.10x = 10,399,316,315.62
  5. Step 5: Solve for x
    x = 10,399,316,315.62/105,412.10
  6. Step 6: Final answer
    x = 98,653.91

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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.