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Finding the Fourth Proportional to 102,655.80, 153,917.10 and 43,475.40

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Solution

The fourth proportional to 102,655.80, 153,917.10 and 43,475.40 is: 65,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.80 : 153,917.10 = 43,475.40 : x
  2. Step 2: Convert to fraction form
    102,655.80/153,917.10 = 43,475.40/x
  3. Step 3: Cross multiply
    102,655.80x = 153,917.10 × 43,475.40
  4. Step 4: Simplify right side
    102,655.80x = 6,691,607,489.34
  5. Step 5: Solve for x
    x = 6,691,607,489.34/102,655.80
  6. Step 6: Final answer
    x = 65,184.89

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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.