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Finding the Fourth Proportional to 210,156.93, 315,232.34 and 97,774.29

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Solution

The fourth proportional to 210,156.93, 315,232.34 and 97,774.29 is: 146,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,156.93 : 315,232.34 = 97,774.29 : x
  2. Step 2: Convert to fraction form
    210,156.93/315,232.34 = 97,774.29/x
  3. Step 3: Cross multiply
    210,156.93x = 315,232.34 × 97,774.29
  4. Step 4: Simplify right side
    210,156.93x = 30,821,617,739.67
  5. Step 5: Solve for x
    x = 30,821,617,739.67/210,156.93
  6. Step 6: Final answer
    x = 146,660.01

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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.