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Finding the Fourth Proportional to 116,580.47, 160,877.54 and 65,596.03

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Solution

The fourth proportional to 116,580.47, 160,877.54 and 65,596.03 is: 90,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,580.47 : 160,877.54 = 65,596.03 : x
  2. Step 2: Convert to fraction form
    116,580.47/160,877.54 = 65,596.03/x
  3. Step 3: Cross multiply
    116,580.47x = 160,877.54 × 65,596.03
  4. Step 4: Simplify right side
    116,580.47x = 10,552,927,701.96
  5. Step 5: Solve for x
    x = 10,552,927,701.96/116,580.47
  6. Step 6: Final answer
    x = 90,520.55

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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.