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Finding the Fourth Proportional to 152,446.64, 228,748 and 72,574.96

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Solution

The fourth proportional to 152,446.64, 228,748 and 72,574.96 is: 108,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,446.64 : 228,748 = 72,574.96 : x
  2. Step 2: Convert to fraction form
    152,446.64/228,748 = 72,574.96/x
  3. Step 3: Cross multiply
    152,446.64x = 228,748 × 72,574.96
  4. Step 4: Simplify right side
    152,446.64x = 16,601,376,950.08
  5. Step 5: Solve for x
    x = 16,601,376,950.08/152,446.64
  6. Step 6: Final answer
    x = 108,899.59

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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.