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Finding the Fourth Proportional to 152,064.80, 228,097.20 and 137,031.20

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Solution

The fourth proportional to 152,064.80, 228,097.20 and 137,031.20 is: 205,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,064.80 : 228,097.20 = 137,031.20 : x
  2. Step 2: Convert to fraction form
    152,064.80/228,097.20 = 137,031.20/x
  3. Step 3: Cross multiply
    152,064.80x = 228,097.20 × 137,031.20
  4. Step 4: Simplify right side
    152,064.80x = 31,256,433,032.64
  5. Step 5: Solve for x
    x = 31,256,433,032.64/152,064.80
  6. Step 6: Final answer
    x = 205,546.80

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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.