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Finding the Fourth Proportional to 507,390.66, 761,025.51 and 133,442.82

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Solution

The fourth proportional to 507,390.66, 761,025.51 and 133,442.82 is: 200,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,390.66 : 761,025.51 = 133,442.82 : x
  2. Step 2: Convert to fraction form
    507,390.66/761,025.51 = 133,442.82/x
  3. Step 3: Cross multiply
    507,390.66x = 761,025.51 × 133,442.82
  4. Step 4: Simplify right side
    507,390.66x = 101,553,390,146.34
  5. Step 5: Solve for x
    x = 101,553,390,146.34/507,390.66
  6. Step 6: Final answer
    x = 200,148.32

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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.