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Finding the Fourth Proportional to 507,011.80, 760,478.10 and 133,025.08

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Solution

The fourth proportional to 507,011.80, 760,478.10 and 133,025.08 is: 199,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,011.80 : 760,478.10 = 133,025.08 : x
  2. Step 2: Convert to fraction form
    507,011.80/760,478.10 = 133,025.08/x
  3. Step 3: Cross multiply
    507,011.80x = 760,478.10 × 133,025.08
  4. Step 4: Simplify right side
    507,011.80x = 101,162,660,090.75
  5. Step 5: Solve for x
    x = 101,162,660,090.75/507,011.80
  6. Step 6: Final answer
    x = 199,527.23

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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.