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Finding the Fourth Proportional to 228,509.40, 342,180.90 and 181,853.40

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Solution

The fourth proportional to 228,509.40, 342,180.90 and 181,853.40 is: 272,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,509.40 : 342,180.90 = 181,853.40 : x
  2. Step 2: Convert to fraction form
    228,509.40/342,180.90 = 181,853.40/x
  3. Step 3: Cross multiply
    228,509.40x = 342,180.90 × 181,853.40
  4. Step 4: Simplify right side
    228,509.40x = 62,226,760,080.06
  5. Step 5: Solve for x
    x = 62,226,760,080.06/228,509.40
  6. Step 6: Final answer
    x = 272,315.98

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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.