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Finding the Fourth Proportional to 507,392.16, 761,027.76 and 133,444.32

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Solution

The fourth proportional to 507,392.16, 761,027.76 and 133,444.32 is: 200,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,392.16 : 761,027.76 = 133,444.32 : x
  2. Step 2: Convert to fraction form
    507,392.16/761,027.76 = 133,444.32/x
  3. Step 3: Cross multiply
    507,392.16x = 761,027.76 × 133,444.32
  4. Step 4: Simplify right side
    507,392.16x = 101,554,831,934.32
  5. Step 5: Solve for x
    x = 101,554,831,934.32/507,392.16
  6. Step 6: Final answer
    x = 200,150.57

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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.