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Finding the Fourth Proportional to 127,408.95, 175,810.08 and 76,423.77

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Solution

The fourth proportional to 127,408.95, 175,810.08 and 76,423.77 is: 105,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,408.95 : 175,810.08 = 76,423.77 : x
  2. Step 2: Convert to fraction form
    127,408.95/175,810.08 = 76,423.77/x
  3. Step 3: Cross multiply
    127,408.95x = 175,810.08 × 76,423.77
  4. Step 4: Simplify right side
    127,408.95x = 13,436,069,117.60
  5. Step 5: Solve for x
    x = 13,436,069,117.60/127,408.95
  6. Step 6: Final answer
    x = 105,456.24

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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.