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Finding the Fourth Proportional to 508,139.76, 762,209.58 and 134,166

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Solution

The fourth proportional to 508,139.76, 762,209.58 and 134,166 is: 201,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,139.76 : 762,209.58 = 134,166 : x
  2. Step 2: Convert to fraction form
    508,139.76/762,209.58 = 134,166/x
  3. Step 3: Cross multiply
    508,139.76x = 762,209.58 × 134,166
  4. Step 4: Simplify right side
    508,139.76x = 102,262,610,510.28
  5. Step 5: Solve for x
    x = 102,262,610,510.28/508,139.76
  6. Step 6: Final answer
    x = 201,248.98

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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.