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Finding the Fourth Proportional to 264,004, 364,176.48 and 156,468.40

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Solution

The fourth proportional to 264,004, 364,176.48 and 156,468.40 is: 215,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,004 : 364,176.48 = 156,468.40 : x
  2. Step 2: Convert to fraction form
    264,004/364,176.48 = 156,468.40/x
  3. Step 3: Cross multiply
    264,004x = 364,176.48 × 156,468.40
  4. Step 4: Simplify right side
    264,004x = 56,982,111,143.23
  5. Step 5: Solve for x
    x = 56,982,111,143.23/264,004
  6. Step 6: Final answer
    x = 215,838.06

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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.