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Finding the Fourth Proportional to 264,784.88, 365,362.42 and 157,315.16

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Solution

The fourth proportional to 264,784.88, 365,362.42 and 157,315.16 is: 217,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,784.88 : 365,362.42 = 157,315.16 : x
  2. Step 2: Convert to fraction form
    264,784.88/365,362.42 = 157,315.16/x
  3. Step 3: Cross multiply
    264,784.88x = 365,362.42 × 157,315.16
  4. Step 4: Simplify right side
    264,784.88x = 57,477,047,560.29
  5. Step 5: Solve for x
    x = 57,477,047,560.29/264,784.88
  6. Step 6: Final answer
    x = 217,070.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.