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Finding the Fourth Proportional to 102,814.20, 153,875.70 and 71,710.20

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Solution

The fourth proportional to 102,814.20, 153,875.70 and 71,710.20 is: 107,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.20 : 153,875.70 = 71,710.20 : x
  2. Step 2: Convert to fraction form
    102,814.20/153,875.70 = 71,710.20/x
  3. Step 3: Cross multiply
    102,814.20x = 153,875.70 × 71,710.20
  4. Step 4: Simplify right side
    102,814.20x = 11,034,457,222.14
  5. Step 5: Solve for x
    x = 11,034,457,222.14/102,814.20
  6. Step 6: Final answer
    x = 107,324.25

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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.