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Finding the Fourth Proportional to 316,522.56, 474,783.72 and 106,159.80

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Solution

The fourth proportional to 316,522.56, 474,783.72 and 106,159.80 is: 159,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,522.56 : 474,783.72 = 106,159.80 : x
  2. Step 2: Convert to fraction form
    316,522.56/474,783.72 = 106,159.80/x
  3. Step 3: Cross multiply
    316,522.56x = 474,783.72 × 106,159.80
  4. Step 4: Simplify right side
    316,522.56x = 50,402,944,758.46
  5. Step 5: Solve for x
    x = 50,402,944,758.46/316,522.56
  6. Step 6: Final answer
    x = 159,239.66

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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.