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Finding the Fourth Proportional to 176,513.01, 264,959.10 and 71,400.93

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Solution

The fourth proportional to 176,513.01, 264,959.10 and 71,400.93 is: 107,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,513.01 : 264,959.10 = 71,400.93 : x
  2. Step 2: Convert to fraction form
    176,513.01/264,959.10 = 71,400.93/x
  3. Step 3: Cross multiply
    176,513.01x = 264,959.10 × 71,400.93
  4. Step 4: Simplify right side
    176,513.01x = 18,918,326,151.96
  5. Step 5: Solve for x
    x = 18,918,326,151.96/176,513.01
  6. Step 6: Final answer
    x = 107,178.08

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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.