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Finding the Fourth Proportional to 162,208.64, 243,312.96 and 51,392

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Solution

The fourth proportional to 162,208.64, 243,312.96 and 51,392 is: 77,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,208.64 : 243,312.96 = 51,392 : x
  2. Step 2: Convert to fraction form
    162,208.64/243,312.96 = 51,392/x
  3. Step 3: Cross multiply
    162,208.64x = 243,312.96 × 51,392
  4. Step 4: Simplify right side
    162,208.64x = 12,504,339,640.32
  5. Step 5: Solve for x
    x = 12,504,339,640.32/162,208.64
  6. Step 6: Final answer
    x = 77,088.00

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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.