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Finding the Fourth Proportional to 185,528.10, 277,964.10 and 157,315.80

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Solution

The fourth proportional to 185,528.10, 277,964.10 and 157,315.80 is: 235,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,528.10 : 277,964.10 = 157,315.80 : x
  2. Step 2: Convert to fraction form
    185,528.10/277,964.10 = 157,315.80/x
  3. Step 3: Cross multiply
    185,528.10x = 277,964.10 × 157,315.80
  4. Step 4: Simplify right side
    185,528.10x = 43,728,144,762.78
  5. Step 5: Solve for x
    x = 43,728,144,762.78/185,528.10
  6. Step 6: Final answer
    x = 235,695.53

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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.