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Finding the Fourth Proportional to 437,538.11, 656,307.01 and 105,114.11

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Solution

The fourth proportional to 437,538.11, 656,307.01 and 105,114.11 is: 157,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,538.11 : 656,307.01 = 105,114.11 : x
  2. Step 2: Convert to fraction form
    437,538.11/656,307.01 = 105,114.11/x
  3. Step 3: Cross multiply
    437,538.11x = 656,307.01 × 105,114.11
  4. Step 4: Simplify right side
    437,538.11x = 68,987,123,501.50
  5. Step 5: Solve for x
    x = 68,987,123,501.50/437,538.11
  6. Step 6: Final answer
    x = 157,671.12

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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.