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Finding the Fourth Proportional to 205,298.10, 307,813.95 and 86,937.30

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Solution

The fourth proportional to 205,298.10, 307,813.95 and 86,937.30 is: 130,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,298.10 : 307,813.95 = 86,937.30 : x
  2. Step 2: Convert to fraction form
    205,298.10/307,813.95 = 86,937.30/x
  3. Step 3: Cross multiply
    205,298.10x = 307,813.95 × 86,937.30
  4. Step 4: Simplify right side
    205,298.10x = 26,760,513,715.34
  5. Step 5: Solve for x
    x = 26,760,513,715.34/205,298.10
  6. Step 6: Final answer
    x = 130,349.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.