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Finding the Fourth Proportional to 152,884.52, 210,907.05 and 99,186.38

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Solution

The fourth proportional to 152,884.52, 210,907.05 and 99,186.38 is: 136,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,884.52 : 210,907.05 = 99,186.38 : x
  2. Step 2: Convert to fraction form
    152,884.52/210,907.05 = 99,186.38/x
  3. Step 3: Cross multiply
    152,884.52x = 210,907.05 × 99,186.38
  4. Step 4: Simplify right side
    152,884.52x = 20,919,106,805.98
  5. Step 5: Solve for x
    x = 20,919,106,805.98/152,884.52
  6. Step 6: Final answer
    x = 136,829.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.