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Finding the Fourth Proportional to 185,563.40, 278,345.10 and 185,563.40

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Solution

The fourth proportional to 185,563.40, 278,345.10 and 185,563.40 is: 278,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,563.40 : 278,345.10 = 185,563.40 : x
  2. Step 2: Convert to fraction form
    185,563.40/278,345.10 = 185,563.40/x
  3. Step 3: Cross multiply
    185,563.40x = 278,345.10 × 185,563.40
  4. Step 4: Simplify right side
    185,563.40x = 51,650,663,129.34
  5. Step 5: Solve for x
    x = 51,650,663,129.34/185,563.40
  6. Step 6: Final answer
    x = 278,345.10

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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.