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Finding the Fourth Proportional to 152,195.84, 210,048 and 88,536.32

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Solution

The fourth proportional to 152,195.84, 210,048 and 88,536.32 is: 122,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,195.84 : 210,048 = 88,536.32 : x
  2. Step 2: Convert to fraction form
    152,195.84/210,048 = 88,536.32/x
  3. Step 3: Cross multiply
    152,195.84x = 210,048 × 88,536.32
  4. Step 4: Simplify right side
    152,195.84x = 18,596,876,943.36
  5. Step 5: Solve for x
    x = 18,596,876,943.36/152,195.84
  6. Step 6: Final answer
    x = 122,190.44

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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.