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Finding the Fourth Proportional to 152,068.64, 228,115.72 and 56,032

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Solution

The fourth proportional to 152,068.64, 228,115.72 and 56,032 is: 84,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,068.64 : 228,115.72 = 56,032 : x
  2. Step 2: Convert to fraction form
    152,068.64/228,115.72 = 56,032/x
  3. Step 3: Cross multiply
    152,068.64x = 228,115.72 × 56,032
  4. Step 4: Simplify right side
    152,068.64x = 12,781,780,023.04
  5. Step 5: Solve for x
    x = 12,781,780,023.04/152,068.64
  6. Step 6: Final answer
    x = 84,052.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.