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Finding the Fourth Proportional to 202,017, 303,069.24 and 77,358

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Solution

The fourth proportional to 202,017, 303,069.24 and 77,358 is: 116,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,017 : 303,069.24 = 77,358 : x
  2. Step 2: Convert to fraction form
    202,017/303,069.24 = 77,358/x
  3. Step 3: Cross multiply
    202,017x = 303,069.24 × 77,358
  4. Step 4: Simplify right side
    202,017x = 23,444,830,267.92
  5. Step 5: Solve for x
    x = 23,444,830,267.92/202,017
  6. Step 6: Final answer
    x = 116,053.75

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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.