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Finding the Fourth Proportional to 194,795.72, 292,018.14 and 70,049

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Solution

The fourth proportional to 194,795.72, 292,018.14 and 70,049 is: 105,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,795.72 : 292,018.14 = 70,049 : x
  2. Step 2: Convert to fraction form
    194,795.72/292,018.14 = 70,049/x
  3. Step 3: Cross multiply
    194,795.72x = 292,018.14 × 70,049
  4. Step 4: Simplify right side
    194,795.72x = 20,455,578,688.86
  5. Step 5: Solve for x
    x = 20,455,578,688.86/194,795.72
  6. Step 6: Final answer
    x = 105,010.41

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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.