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Finding the Fourth Proportional to 103,642.54, 154,655.50 and 92,472.46

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Solution

The fourth proportional to 103,642.54, 154,655.50 and 92,472.46 is: 137,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,642.54 : 154,655.50 = 92,472.46 : x
  2. Step 2: Convert to fraction form
    103,642.54/154,655.50 = 92,472.46/x
  3. Step 3: Cross multiply
    103,642.54x = 154,655.50 × 92,472.46
  4. Step 4: Simplify right side
    103,642.54x = 14,301,374,537.53
  5. Step 5: Solve for x
    x = 14,301,374,537.53/103,642.54
  6. Step 6: Final answer
    x = 137,987.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.