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Finding the Fourth Proportional to 464,145.02, 696,227.25 and 148,601.02

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Solution

The fourth proportional to 464,145.02, 696,227.25 and 148,601.02 is: 222,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,145.02 : 696,227.25 = 148,601.02 : x
  2. Step 2: Convert to fraction form
    464,145.02/696,227.25 = 148,601.02/x
  3. Step 3: Cross multiply
    464,145.02x = 696,227.25 × 148,601.02
  4. Step 4: Simplify right side
    464,145.02x = 103,460,079,501.80
  5. Step 5: Solve for x
    x = 103,460,079,501.80/464,145.02
  6. Step 6: Final answer
    x = 222,904.64

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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.