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Finding the Fourth Proportional to 105,249, 145,243.62 and 60,537

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Solution

The fourth proportional to 105,249, 145,243.62 and 60,537 is: 83,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,249 : 145,243.62 = 60,537 : x
  2. Step 2: Convert to fraction form
    105,249/145,243.62 = 60,537/x
  3. Step 3: Cross multiply
    105,249x = 145,243.62 × 60,537
  4. Step 4: Simplify right side
    105,249x = 8,792,613,023.94
  5. Step 5: Solve for x
    x = 8,792,613,023.94/105,249
  6. Step 6: Final answer
    x = 83,541.06

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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.