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Finding the Fourth Proportional to 105,457.83, 145,509.29 and 62,450.83

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Solution

The fourth proportional to 105,457.83, 145,509.29 and 62,450.83 is: 86,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,457.83 : 145,509.29 = 62,450.83 : x
  2. Step 2: Convert to fraction form
    105,457.83/145,509.29 = 62,450.83/x
  3. Step 3: Cross multiply
    105,457.83x = 145,509.29 × 62,450.83
  4. Step 4: Simplify right side
    105,457.83x = 9,087,176,037.03
  5. Step 5: Solve for x
    x = 9,087,176,037.03/105,457.83
  6. Step 6: Final answer
    x = 86,168.82

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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.