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Finding the Fourth Proportional to 105,045.96, 144,916.49 and 64,745.02

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Solution

The fourth proportional to 105,045.96, 144,916.49 and 64,745.02 is: 89,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045.96 : 144,916.49 = 64,745.02 : x
  2. Step 2: Convert to fraction form
    105,045.96/144,916.49 = 64,745.02/x
  3. Step 3: Cross multiply
    105,045.96x = 144,916.49 × 64,745.02
  4. Step 4: Simplify right side
    105,045.96x = 9,382,621,386.39
  5. Step 5: Solve for x
    x = 9,382,621,386.39/105,045.96
  6. Step 6: Final answer
    x = 89,319.20

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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.