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Finding the Fourth Proportional to 194,798.40, 292,197.60 and 186,925.20

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Solution

The fourth proportional to 194,798.40, 292,197.60 and 186,925.20 is: 280,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,798.40 : 292,197.60 = 186,925.20 : x
  2. Step 2: Convert to fraction form
    194,798.40/292,197.60 = 186,925.20/x
  3. Step 3: Cross multiply
    194,798.40x = 292,197.60 × 186,925.20
  4. Step 4: Simplify right side
    194,798.40x = 54,619,094,819.52
  5. Step 5: Solve for x
    x = 54,619,094,819.52/194,798.40
  6. Step 6: Final answer
    x = 280,387.80

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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.