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Finding the Fourth Proportional to 205,070.94, 307,608.33 and 64,830.30

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Solution

The fourth proportional to 205,070.94, 307,608.33 and 64,830.30 is: 97,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,070.94 : 307,608.33 = 64,830.30 : x
  2. Step 2: Convert to fraction form
    205,070.94/307,608.33 = 64,830.30/x
  3. Step 3: Cross multiply
    205,070.94x = 307,608.33 × 64,830.30
  4. Step 4: Simplify right side
    205,070.94x = 19,942,340,316.40
  5. Step 5: Solve for x
    x = 19,942,340,316.40/205,070.94
  6. Step 6: Final answer
    x = 97,246.06

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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.