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Finding the Fourth Proportional to 105,501.30, 145,578.88 and 84,045.70

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Solution

The fourth proportional to 105,501.30, 145,578.88 and 84,045.70 is: 115,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,501.30 : 145,578.88 = 84,045.70 : x
  2. Step 2: Convert to fraction form
    105,501.30/145,578.88 = 84,045.70/x
  3. Step 3: Cross multiply
    105,501.30x = 145,578.88 × 84,045.70
  4. Step 4: Simplify right side
    105,501.30x = 12,235,277,936.81
  5. Step 5: Solve for x
    x = 12,235,277,936.81/105,501.30
  6. Step 6: Final answer
    x = 115,972.77

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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.