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Finding the Fourth Proportional to 128,417.68, 177,265.12 and 114,964

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Solution

The fourth proportional to 128,417.68, 177,265.12 and 114,964 is: 158,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,417.68 : 177,265.12 = 114,964 : x
  2. Step 2: Convert to fraction form
    128,417.68/177,265.12 = 114,964/x
  3. Step 3: Cross multiply
    128,417.68x = 177,265.12 × 114,964
  4. Step 4: Simplify right side
    128,417.68x = 20,379,107,255.68
  5. Step 5: Solve for x
    x = 20,379,107,255.68/128,417.68
  6. Step 6: Final answer
    x = 158,693.94

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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.