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Finding the Fourth Proportional to 237,746, 356,378.76 and 149,061.68

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Solution

The fourth proportional to 237,746, 356,378.76 and 149,061.68 is: 223,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,746 : 356,378.76 = 149,061.68 : x
  2. Step 2: Convert to fraction form
    237,746/356,378.76 = 149,061.68/x
  3. Step 3: Cross multiply
    237,746x = 356,378.76 × 149,061.68
  4. Step 4: Simplify right side
    237,746x = 53,122,416,681.92
  5. Step 5: Solve for x
    x = 53,122,416,681.92/237,746
  6. Step 6: Final answer
    x = 223,441.89

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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.