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Finding the Fourth Proportional to 316,098, 474,048.59 and 105,686.73

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Solution

The fourth proportional to 316,098, 474,048.59 and 105,686.73 is: 158,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,098 : 474,048.59 = 105,686.73 : x
  2. Step 2: Convert to fraction form
    316,098/474,048.59 = 105,686.73/x
  3. Step 3: Cross multiply
    316,098x = 474,048.59 × 105,686.73
  4. Step 4: Simplify right side
    316,098x = 50,100,644,809.78
  5. Step 5: Solve for x
    x = 50,100,644,809.78/316,098
  6. Step 6: Final answer
    x = 158,497.19

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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.