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Finding the Fourth Proportional to 213,253.52, 319,973.66 and 101,013.84

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Solution

The fourth proportional to 213,253.52, 319,973.66 and 101,013.84 is: 151,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,253.52 : 319,973.66 = 101,013.84 : x
  2. Step 2: Convert to fraction form
    213,253.52/319,973.66 = 101,013.84/x
  3. Step 3: Cross multiply
    213,253.52x = 319,973.66 × 101,013.84
  4. Step 4: Simplify right side
    213,253.52x = 32,321,767,590.39
  5. Step 5: Solve for x
    x = 32,321,767,590.39/213,253.52
  6. Step 6: Final answer
    x = 151,564.99

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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.