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Finding the Fourth Proportional to 194,912.40, 292,368.60 and 147,673.20

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Solution

The fourth proportional to 194,912.40, 292,368.60 and 147,673.20 is: 221,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912.40 : 292,368.60 = 147,673.20 : x
  2. Step 2: Convert to fraction form
    194,912.40/292,368.60 = 147,673.20/x
  3. Step 3: Cross multiply
    194,912.40x = 292,368.60 × 147,673.20
  4. Step 4: Simplify right side
    194,912.40x = 43,175,006,741.52
  5. Step 5: Solve for x
    x = 43,175,006,741.52/194,912.40
  6. Step 6: Final answer
    x = 221,509.80

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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.