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Finding the Fourth Proportional to 205,495, 308,242.50 and 57,751

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Solution

The fourth proportional to 205,495, 308,242.50 and 57,751 is: 86,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,495 : 308,242.50 = 57,751 : x
  2. Step 2: Convert to fraction form
    205,495/308,242.50 = 57,751/x
  3. Step 3: Cross multiply
    205,495x = 308,242.50 × 57,751
  4. Step 4: Simplify right side
    205,495x = 17,801,312,617.50
  5. Step 5: Solve for x
    x = 17,801,312,617.50/205,495
  6. Step 6: Final answer
    x = 86,626.50

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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.