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Finding the Fourth Proportional to 116,500, 174,705.60 and 41,606.16

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Solution

The fourth proportional to 116,500, 174,705.60 and 41,606.16 is: 62,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,500 : 174,705.60 = 41,606.16 : x
  2. Step 2: Convert to fraction form
    116,500/174,705.60 = 41,606.16/x
  3. Step 3: Cross multiply
    116,500x = 174,705.60 × 41,606.16
  4. Step 4: Simplify right side
    116,500x = 7,268,829,146.50
  5. Step 5: Solve for x
    x = 7,268,829,146.50/116,500
  6. Step 6: Final answer
    x = 62,393.38

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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.