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Finding the Fourth Proportional to 103,537.98, 142,848.05 and 84,384.82

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Solution

The fourth proportional to 103,537.98, 142,848.05 and 84,384.82 is: 116,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,537.98 : 142,848.05 = 84,384.82 : x
  2. Step 2: Convert to fraction form
    103,537.98/142,848.05 = 84,384.82/x
  3. Step 3: Cross multiply
    103,537.98x = 142,848.05 × 84,384.82
  4. Step 4: Simplify right side
    103,537.98x = 12,054,206,980.57
  5. Step 5: Solve for x
    x = 12,054,206,980.57/103,537.98
  6. Step 6: Final answer
    x = 116,423.04

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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.