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Finding the Fourth Proportional to 114,307.34, 157,691.61 and 74,034.54

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Solution

The fourth proportional to 114,307.34, 157,691.61 and 74,034.54 is: 102,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.34 : 157,691.61 = 74,034.54 : x
  2. Step 2: Convert to fraction form
    114,307.34/157,691.61 = 74,034.54/x
  3. Step 3: Cross multiply
    114,307.34x = 157,691.61 × 74,034.54
  4. Step 4: Simplify right side
    114,307.34x = 11,674,625,808.21
  5. Step 5: Solve for x
    x = 11,674,625,808.21/114,307.34
  6. Step 6: Final answer
    x = 102,133.65

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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.