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Finding the Fourth Proportional to 152,002.76, 228,045.90 and 63,297.80

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Solution

The fourth proportional to 152,002.76, 228,045.90 and 63,297.80 is: 94,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,002.76 : 228,045.90 = 63,297.80 : x
  2. Step 2: Convert to fraction form
    152,002.76/228,045.90 = 63,297.80/x
  3. Step 3: Cross multiply
    152,002.76x = 228,045.90 × 63,297.80
  4. Step 4: Simplify right side
    152,002.76x = 14,434,803,769.02
  5. Step 5: Solve for x
    x = 14,434,803,769.02/152,002.76
  6. Step 6: Final answer
    x = 94,964.09

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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.