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Finding the Fourth Proportional to 137,430.33, 189,641.02 and 76,988.15

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Solution

The fourth proportional to 137,430.33, 189,641.02 and 76,988.15 is: 106,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,430.33 : 189,641.02 = 76,988.15 : x
  2. Step 2: Convert to fraction form
    137,430.33/189,641.02 = 76,988.15/x
  3. Step 3: Cross multiply
    137,430.33x = 189,641.02 × 76,988.15
  4. Step 4: Simplify right side
    137,430.33x = 14,600,111,575.55
  5. Step 5: Solve for x
    x = 14,600,111,575.55/137,430.33
  6. Step 6: Final answer
    x = 106,236.46

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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.