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Finding the Fourth Proportional to 205,359.60, 308,050.41 and 65,129.16

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Solution

The fourth proportional to 205,359.60, 308,050.41 and 65,129.16 is: 97,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,359.60 : 308,050.41 = 65,129.16 : x
  2. Step 2: Convert to fraction form
    205,359.60/308,050.41 = 65,129.16/x
  3. Step 3: Cross multiply
    205,359.60x = 308,050.41 × 65,129.16
  4. Step 4: Simplify right side
    205,359.60x = 20,063,064,440.96
  5. Step 5: Solve for x
    x = 20,063,064,440.96/205,359.60
  6. Step 6: Final answer
    x = 97,697.23

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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.