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Finding the Fourth Proportional to 152,615.20, 228,922.80 and 130,064.80

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Solution

The fourth proportional to 152,615.20, 228,922.80 and 130,064.80 is: 195,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615.20 : 228,922.80 = 130,064.80 : x
  2. Step 2: Convert to fraction form
    152,615.20/228,922.80 = 130,064.80/x
  3. Step 3: Cross multiply
    152,615.20x = 228,922.80 × 130,064.80
  4. Step 4: Simplify right side
    152,615.20x = 29,774,798,197.44
  5. Step 5: Solve for x
    x = 29,774,798,197.44/152,615.20
  6. Step 6: Final answer
    x = 195,097.20

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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.