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Finding the Fourth Proportional to 153,057, 211,123.35 and 105,227.31

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Solution

The fourth proportional to 153,057, 211,123.35 and 105,227.31 is: 145,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,057 : 211,123.35 = 105,227.31 : x
  2. Step 2: Convert to fraction form
    153,057/211,123.35 = 105,227.31/x
  3. Step 3: Cross multiply
    153,057x = 211,123.35 × 105,227.31
  4. Step 4: Simplify right side
    153,057x = 22,215,942,198.69
  5. Step 5: Solve for x
    x = 22,215,942,198.69/153,057
  6. Step 6: Final answer
    x = 145,148.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.