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Finding the Fourth Proportional to 265,123.98, 365,750.10 and 157,632.84

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Solution

The fourth proportional to 265,123.98, 365,750.10 and 157,632.84 is: 217,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,123.98 : 365,750.10 = 157,632.84 : x
  2. Step 2: Convert to fraction form
    265,123.98/365,750.10 = 157,632.84/x
  3. Step 3: Cross multiply
    265,123.98x = 365,750.10 × 157,632.84
  4. Step 4: Simplify right side
    265,123.98x = 57,654,226,993.28
  5. Step 5: Solve for x
    x = 57,654,226,993.28/265,123.98
  6. Step 6: Final answer
    x = 217,461.38

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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.