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Finding the Fourth Proportional to 105,109.34, 145,046.34 and 59,780.93

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Solution

The fourth proportional to 105,109.34, 145,046.34 and 59,780.93 is: 82,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,109.34 : 145,046.34 = 59,780.93 : x
  2. Step 2: Convert to fraction form
    105,109.34/145,046.34 = 59,780.93/x
  3. Step 3: Cross multiply
    105,109.34x = 145,046.34 × 59,780.93
  4. Step 4: Simplify right side
    105,109.34x = 8,671,004,373.06
  5. Step 5: Solve for x
    x = 8,671,004,373.06/105,109.34
  6. Step 6: Final answer
    x = 82,495.09

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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.