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Finding the Fourth Proportional to 127,442.04, 175,879.26 and 76,457

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Solution

The fourth proportional to 127,442.04, 175,879.26 and 76,457 is: 105,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,442.04 : 175,879.26 = 76,457 : x
  2. Step 2: Convert to fraction form
    127,442.04/175,879.26 = 76,457/x
  3. Step 3: Cross multiply
    127,442.04x = 175,879.26 × 76,457
  4. Step 4: Simplify right side
    127,442.04x = 13,447,200,581.82
  5. Step 5: Solve for x
    x = 13,447,200,581.82/127,442.04
  6. Step 6: Final answer
    x = 105,516.21

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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.