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Finding the Fourth Proportional to 359,783.70, 539,581.44 and 106,996.06

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Solution

The fourth proportional to 359,783.70, 539,581.44 and 106,996.06 is: 160,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,783.70 : 539,581.44 = 106,996.06 : x
  2. Step 2: Convert to fraction form
    359,783.70/539,581.44 = 106,996.06/x
  3. Step 3: Cross multiply
    359,783.70x = 539,581.44 × 106,996.06
  4. Step 4: Simplify right side
    359,783.70x = 57,733,088,129.13
  5. Step 5: Solve for x
    x = 57,733,088,129.13/359,783.70
  6. Step 6: Final answer
    x = 160,466.10

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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.