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Finding the Fourth Proportional to 205,172.50, 307,776.38 and 72,041.32

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Solution

The fourth proportional to 205,172.50, 307,776.38 and 72,041.32 is: 108,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172.50 : 307,776.38 = 72,041.32 : x
  2. Step 2: Convert to fraction form
    205,172.50/307,776.38 = 72,041.32/x
  3. Step 3: Cross multiply
    205,172.50x = 307,776.38 × 72,041.32
  4. Step 4: Simplify right side
    205,172.50x = 22,172,616,680.02
  5. Step 5: Solve for x
    x = 22,172,616,680.02/205,172.50
  6. Step 6: Final answer
    x = 108,068.17

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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.