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Finding the Fourth Proportional to 137,128.24, 189,254.49 and 76,702.24

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Solution

The fourth proportional to 137,128.24, 189,254.49 and 76,702.24 is: 105,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,128.24 : 189,254.49 = 76,702.24 : x
  2. Step 2: Convert to fraction form
    137,128.24/189,254.49 = 76,702.24/x
  3. Step 3: Cross multiply
    137,128.24x = 189,254.49 × 76,702.24
  4. Step 4: Simplify right side
    137,128.24x = 14,516,242,366.79
  5. Step 5: Solve for x
    x = 14,516,242,366.79/137,128.24
  6. Step 6: Final answer
    x = 105,858.89

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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.