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Finding the Fourth Proportional to 268,646.68, 370,720.72 and 147,780.30

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Solution

The fourth proportional to 268,646.68, 370,720.72 and 147,780.30 is: 203,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,646.68 : 370,720.72 = 147,780.30 : x
  2. Step 2: Convert to fraction form
    268,646.68/370,720.72 = 147,780.30/x
  3. Step 3: Cross multiply
    268,646.68x = 370,720.72 × 147,780.30
  4. Step 4: Simplify right side
    268,646.68x = 54,785,219,123.07
  5. Step 5: Solve for x
    x = 54,785,219,123.07/268,646.68
  6. Step 6: Final answer
    x = 203,930.38

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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.