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Finding the Fourth Proportional to 359,152.52, 538,653.11 and 106,435.22

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Solution

The fourth proportional to 359,152.52, 538,653.11 and 106,435.22 is: 159,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,152.52 : 538,653.11 = 106,435.22 : x
  2. Step 2: Convert to fraction form
    359,152.52/538,653.11 = 106,435.22/x
  3. Step 3: Cross multiply
    359,152.52x = 538,653.11 × 106,435.22
  4. Step 4: Simplify right side
    359,152.52x = 57,331,659,041.09
  5. Step 5: Solve for x
    x = 57,331,659,041.09/359,152.52
  6. Step 6: Final answer
    x = 159,630.40

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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.