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Finding the Fourth Proportional to 359,125.33, 538,693.32 and 106,431.45

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Solution

The fourth proportional to 359,125.33, 538,693.32 and 106,431.45 is: 159,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,125.33 : 538,693.32 = 106,431.45 : x
  2. Step 2: Convert to fraction form
    359,125.33/538,693.32 = 106,431.45/x
  3. Step 3: Cross multiply
    359,125.33x = 538,693.32 × 106,431.45
  4. Step 4: Simplify right side
    359,125.33x = 57,333,911,963.41
  5. Step 5: Solve for x
    x = 57,333,911,963.41/359,125.33
  6. Step 6: Final answer
    x = 159,648.76

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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.