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Finding the Fourth Proportional to 152,657.39, 210,692.41 and 84,696.24

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Solution

The fourth proportional to 152,657.39, 210,692.41 and 84,696.24 is: 116,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,657.39 : 210,692.41 = 84,696.24 : x
  2. Step 2: Convert to fraction form
    152,657.39/210,692.41 = 84,696.24/x
  3. Step 3: Cross multiply
    152,657.39x = 210,692.41 × 84,696.24
  4. Step 4: Simplify right side
    152,657.39x = 17,844,855,501.89
  5. Step 5: Solve for x
    x = 17,844,855,501.89/152,657.39
  6. Step 6: Final answer
    x = 116,894.80

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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.