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Finding the Fourth Proportional to 118,870.80, 178,314.30 and 37,811.40

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Solution

The fourth proportional to 118,870.80, 178,314.30 and 37,811.40 is: 56,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,870.80 : 178,314.30 = 37,811.40 : x
  2. Step 2: Convert to fraction form
    118,870.80/178,314.30 = 37,811.40/x
  3. Step 3: Cross multiply
    118,870.80x = 178,314.30 × 37,811.40
  4. Step 4: Simplify right side
    118,870.80x = 6,742,313,323.02
  5. Step 5: Solve for x
    x = 6,742,313,323.02/118,870.80
  6. Step 6: Final answer
    x = 56,719.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.