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Finding the Fourth Proportional to 105,683.47, 145,858.20 and 65,410.21

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Solution

The fourth proportional to 105,683.47, 145,858.20 and 65,410.21 is: 90,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,683.47 : 145,858.20 = 65,410.21 : x
  2. Step 2: Convert to fraction form
    105,683.47/145,858.20 = 65,410.21/x
  3. Step 3: Cross multiply
    105,683.47x = 145,858.20 × 65,410.21
  4. Step 4: Simplify right side
    105,683.47x = 9,540,615,492.22
  5. Step 5: Solve for x
    x = 9,540,615,492.22/105,683.47
  6. Step 6: Final answer
    x = 90,275.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.