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Finding the Fourth Proportional to 194,482.87, 291,254.02 and 160,956.13

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Solution

The fourth proportional to 194,482.87, 291,254.02 and 160,956.13 is: 241,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,482.87 : 291,254.02 = 160,956.13 : x
  2. Step 2: Convert to fraction form
    194,482.87/291,254.02 = 160,956.13/x
  3. Step 3: Cross multiply
    194,482.87x = 291,254.02 × 160,956.13
  4. Step 4: Simplify right side
    194,482.87x = 46,879,119,906.14
  5. Step 5: Solve for x
    x = 46,879,119,906.14/194,482.87
  6. Step 6: Final answer
    x = 241,044.98

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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.