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Finding the Fourth Proportional to 102,253, 141,109.14 and 57,541.96

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Solution

The fourth proportional to 102,253, 141,109.14 and 57,541.96 is: 79,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253 : 141,109.14 = 57,541.96 : x
  2. Step 2: Convert to fraction form
    102,253/141,109.14 = 57,541.96/x
  3. Step 3: Cross multiply
    102,253x = 141,109.14 × 57,541.96
  4. Step 4: Simplify right side
    102,253x = 8,119,696,489.51
  5. Step 5: Solve for x
    x = 8,119,696,489.51/102,253
  6. Step 6: Final answer
    x = 79,407.90

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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.