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Finding the Fourth Proportional to 105,437.77, 145,457.89 and 61,808.22

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Solution

The fourth proportional to 105,437.77, 145,457.89 and 61,808.22 is: 85,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,437.77 : 145,457.89 = 61,808.22 : x
  2. Step 2: Convert to fraction form
    105,437.77/145,457.89 = 61,808.22/x
  3. Step 3: Cross multiply
    105,437.77x = 145,457.89 × 61,808.22
  4. Step 4: Simplify right side
    105,437.77x = 8,990,493,111.34
  5. Step 5: Solve for x
    x = 8,990,493,111.34/105,437.77
  6. Step 6: Final answer
    x = 85,268.24

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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.