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Finding the Fourth Proportional to 103,542.98, 142,854.94 and 84,389.82

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Solution

The fourth proportional to 103,542.98, 142,854.94 and 84,389.82 is: 116,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,542.98 : 142,854.94 = 84,389.82 : x
  2. Step 2: Convert to fraction form
    103,542.98/142,854.94 = 84,389.82/x
  3. Step 3: Cross multiply
    103,542.98x = 142,854.94 × 84,389.82
  4. Step 4: Simplify right side
    103,542.98x = 12,055,502,672.71
  5. Step 5: Solve for x
    x = 12,055,502,672.71/103,542.98
  6. Step 6: Final answer
    x = 116,429.94

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