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Finding the Fourth Proportional to 357,616.32, 536,482.80 and 120,972.96

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Solution

The fourth proportional to 357,616.32, 536,482.80 and 120,972.96 is: 181,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,616.32 : 536,482.80 = 120,972.96 : x
  2. Step 2: Convert to fraction form
    357,616.32/536,482.80 = 120,972.96/x
  3. Step 3: Cross multiply
    357,616.32x = 536,482.80 × 120,972.96
  4. Step 4: Simplify right side
    357,616.32x = 64,899,912,305.09
  5. Step 5: Solve for x
    x = 64,899,912,305.09/357,616.32
  6. Step 6: Final answer
    x = 181,479.17

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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.