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Finding the Fourth Proportional to 138,051.47, 190,465.23 and 112,513.96

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Solution

The fourth proportional to 138,051.47, 190,465.23 and 112,513.96 is: 155,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051.47 : 190,465.23 = 112,513.96 : x
  2. Step 2: Convert to fraction form
    138,051.47/190,465.23 = 112,513.96/x
  3. Step 3: Cross multiply
    138,051.47x = 190,465.23 × 112,513.96
  4. Step 4: Simplify right side
    138,051.47x = 21,429,996,317.28
  5. Step 5: Solve for x
    x = 21,429,996,317.28/138,051.47
  6. Step 6: Final answer
    x = 155,231.93

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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.