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Finding the Fourth Proportional to 187,052.80, 280,579.20 and 46,811.20

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Solution

The fourth proportional to 187,052.80, 280,579.20 and 46,811.20 is: 70,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,052.80 : 280,579.20 = 46,811.20 : x
  2. Step 2: Convert to fraction form
    187,052.80/280,579.20 = 46,811.20/x
  3. Step 3: Cross multiply
    187,052.80x = 280,579.20 × 46,811.20
  4. Step 4: Simplify right side
    187,052.80x = 13,134,249,047.04
  5. Step 5: Solve for x
    x = 13,134,249,047.04/187,052.80
  6. Step 6: Final answer
    x = 70,216.80

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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.