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Finding the Fourth Proportional to 108,283.65, 149,431.77 and 60,537

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Solution

The fourth proportional to 108,283.65, 149,431.77 and 60,537 is: 83,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,283.65 : 149,431.77 = 60,537 : x
  2. Step 2: Convert to fraction form
    108,283.65/149,431.77 = 60,537/x
  3. Step 3: Cross multiply
    108,283.65x = 149,431.77 × 60,537
  4. Step 4: Simplify right side
    108,283.65x = 9,046,151,060.49
  5. Step 5: Solve for x
    x = 9,046,151,060.49/108,283.65
  6. Step 6: Final answer
    x = 83,541.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.