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Finding the Fourth Proportional to 377,345.16, 566,018.28 and 111,108.78

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Solution

The fourth proportional to 377,345.16, 566,018.28 and 111,108.78 is: 166,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,345.16 : 566,018.28 = 111,108.78 : x
  2. Step 2: Convert to fraction form
    377,345.16/566,018.28 = 111,108.78/x
  3. Step 3: Cross multiply
    377,345.16x = 566,018.28 × 111,108.78
  4. Step 4: Simplify right side
    377,345.16x = 62,889,600,548.50
  5. Step 5: Solve for x
    x = 62,889,600,548.50/377,345.16
  6. Step 6: Final answer
    x = 166,663.33

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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.