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Finding the Fourth Proportional to 137,671.65, 189,977.40 and 77,237.55

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Solution

The fourth proportional to 137,671.65, 189,977.40 and 77,237.55 is: 106,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,671.65 : 189,977.40 = 77,237.55 : x
  2. Step 2: Convert to fraction form
    137,671.65/189,977.40 = 77,237.55/x
  3. Step 3: Cross multiply
    137,671.65x = 189,977.40 × 77,237.55
  4. Step 4: Simplify right side
    137,671.65x = 14,673,388,931.37
  5. Step 5: Solve for x
    x = 14,673,388,931.37/137,671.65
  6. Step 6: Final answer
    x = 106,582.50

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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.