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Finding the Fourth Proportional to 359,135.36, 538,585.81 and 119,184.81

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Solution

The fourth proportional to 359,135.36, 538,585.81 and 119,184.81 is: 178,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,135.36 : 538,585.81 = 119,184.81 : x
  2. Step 2: Convert to fraction form
    359,135.36/538,585.81 = 119,184.81/x
  3. Step 3: Cross multiply
    359,135.36x = 538,585.81 × 119,184.81
  4. Step 4: Simplify right side
    359,135.36x = 64,191,247,433.55
  5. Step 5: Solve for x
    x = 64,191,247,433.55/359,135.36
  6. Step 6: Final answer
    x = 178,738.31

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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.