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Finding the Fourth Proportional to 264,232.49, 364,616.75 and 156,784.01

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Solution

The fourth proportional to 264,232.49, 364,616.75 and 156,784.01 is: 216,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,232.49 : 364,616.75 = 156,784.01 : x
  2. Step 2: Convert to fraction form
    264,232.49/364,616.75 = 156,784.01/x
  3. Step 3: Cross multiply
    264,232.49x = 364,616.75 × 156,784.01
  4. Step 4: Simplify right side
    264,232.49x = 57,166,074,747.04
  5. Step 5: Solve for x
    x = 57,166,074,747.04/264,232.49
  6. Step 6: Final answer
    x = 216,347.64

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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.