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Finding the Fourth Proportional to 194,195.30, 291,466.54 and 99,490

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Solution

The fourth proportional to 194,195.30, 291,466.54 and 99,490 is: 149,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,195.30 : 291,466.54 = 99,490 : x
  2. Step 2: Convert to fraction form
    194,195.30/291,466.54 = 99,490/x
  3. Step 3: Cross multiply
    194,195.30x = 291,466.54 × 99,490
  4. Step 4: Simplify right side
    194,195.30x = 28,998,006,064.60
  5. Step 5: Solve for x
    x = 28,998,006,064.60/194,195.30
  6. Step 6: Final answer
    x = 149,323.93

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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.