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Finding the Fourth Proportional to 194,429.60, 291,061.20 and 182,895.20

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Solution

The fourth proportional to 194,429.60, 291,061.20 and 182,895.20 is: 273,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,429.60 : 291,061.20 = 182,895.20 : x
  2. Step 2: Convert to fraction form
    194,429.60/291,061.20 = 182,895.20/x
  3. Step 3: Cross multiply
    194,429.60x = 291,061.20 × 182,895.20
  4. Step 4: Simplify right side
    194,429.60x = 53,233,696,386.24
  5. Step 5: Solve for x
    x = 53,233,696,386.24/194,429.60
  6. Step 6: Final answer
    x = 273,794.20

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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.