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Finding the Fourth Proportional to 152,675.76, 228,902.92 and 102,631.72

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Solution

The fourth proportional to 152,675.76, 228,902.92 and 102,631.72 is: 153,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,675.76 : 228,902.92 = 102,631.72 : x
  2. Step 2: Convert to fraction form
    152,675.76/228,902.92 = 102,631.72/x
  3. Step 3: Cross multiply
    152,675.76x = 228,902.92 × 102,631.72
  4. Step 4: Simplify right side
    152,675.76x = 23,492,700,392.62
  5. Step 5: Solve for x
    x = 23,492,700,392.62/152,675.76
  6. Step 6: Final answer
    x = 153,873.15

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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.