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Finding the Fourth Proportional to 359,107.30, 538,495.32 and 106,297.36

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Solution

The fourth proportional to 359,107.30, 538,495.32 and 106,297.36 is: 159,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,107.30 : 538,495.32 = 106,297.36 : x
  2. Step 2: Convert to fraction form
    359,107.30/538,495.32 = 106,297.36/x
  3. Step 3: Cross multiply
    359,107.30x = 538,495.32 × 106,297.36
  4. Step 4: Simplify right side
    359,107.30x = 57,240,630,888.36
  5. Step 5: Solve for x
    x = 57,240,630,888.36/359,107.30
  6. Step 6: Final answer
    x = 159,397.01

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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.