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Finding the Fourth Proportional to 185,580.47, 278,368.27 and 45,340.31

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Solution

The fourth proportional to 185,580.47, 278,368.27 and 45,340.31 is: 68,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,580.47 : 278,368.27 = 45,340.31 : x
  2. Step 2: Convert to fraction form
    185,580.47/278,368.27 = 45,340.31/x
  3. Step 3: Cross multiply
    185,580.47x = 278,368.27 × 45,340.31
  4. Step 4: Simplify right side
    185,580.47x = 12,621,302,800.23
  5. Step 5: Solve for x
    x = 12,621,302,800.23/185,580.47
  6. Step 6: Final answer
    x = 68,009.87

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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.